25835520 has 144 divisors (see below), whose sum is σ = 85601880. Its totient is φ = 6651904.

The previous prime is 25835501. The next prime is 25835521. The reversal of 25835520 is 2553852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25835521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890866 + ... + 890894.

Almost surely, 2^25835520 is an apocalyptic number.

25835520 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 25835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42800940).

25835520 is an abundant number, since it is smaller than the sum of its proper divisors (59766360).

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

25835520 is an equidigital number, since it uses as much as digits as its factorization.

25835520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 25835520 is about 5082.8653336479. The cubic root of 25835520 is about 295.6235779975.

Multiplying 25835520 by its sum of digits (30), we get a square (775065600 = 27840²).

25835520 divided by its sum of digits (30) gives a square (861184 = 928²).

Multiplying 25835520 by its product of nonzero digits (12000), we get a square (310026240000 = 556800²).

It can be divided in two parts, 258 and 35520, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 25835520 in words is "twenty-five million, eight hundred thirty-five thousand, five hundred twenty".