25920 has 70 divisors (see below), whose sum is σ = 92202. Its totient is φ = 6912.

The previous prime is 25919. The next prime is 25931. The reversal of 25920 is 2952.

Multipling 25920 by its product of nonzero digits (180), we get a square (4665600 = 2160^{2}).

25920 divided by its product of nonzero digits (180) gives a square (144 = 12^{2}).

It is a Jordan-Polya number, since it can be written as 6! ⋅ (3!)^{2}.

It is a Cunningham number, because it is equal to 161^{2}-1.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 5184 = 144^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 25893 and 25902.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 25920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5182 + ... + 5186.

2^{25920} is an apocalyptic number.

25920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46101).

25920 is an abundant number, since it is smaller than the sum of its proper divisors (66282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25920 is an equidigital number, since it uses as much as digits as its factorization.

25920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 25920 is about 160.9968943800. The cubic root of 25920 is about 29.5945448920.

The spelling of 25920 in words is "twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920

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