25364560 has 80 divisors (see below), whose sum is σ = 65777040. Its totient is φ = 9042432.

The previous prime is 25364543. The next prime is 25364611. The reversal of 25364560 is 6546352.

It can be written as a sum of positive squares in 8 ways, for example, as 8620096 + 16744464 = 2936^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 874626 + ... + 874654.

It is an arithmetic number, because the mean of its divisors is an integer number (822213).

Almost surely, 2^25364560 is an apocalyptic number.

25364560 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 25364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32888520).

25364560 is an abundant number, since it is smaller than the sum of its proper divisors (40412480).

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

25364560 is an equidigital number, since it uses as much as digits as its factorization.

25364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 25364560 is about 5036.3240562934. The cubic root of 25364560 is about 293.8162271079.

The spelling of 25364560 in words is "twenty-five million, three hundred sixty-four thousand, five hundred sixty".