25759360 has 64 divisors (see below), whose sum is σ = 67197600. Its totient is φ = 9364480.

The previous prime is 25759351. The next prime is 25759361. The reversal of 25759360 is 6395752.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (25759361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5211 + ... + 8869.

Almost surely, 2^25759360 is an apocalyptic number.

25759360 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 25759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598800).

25759360 is an abundant number, since it is smaller than the sum of its proper divisors (41438240).

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

25759360 is a wasteful number, since it uses less digits than its factorization.

25759360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 25759360 is about 5075.3679669557. The cubic root of 25759360 is about 295.3328045257.

It can be divided in two parts, 2575 and 9360, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 25759360 in words is "twenty-five million, seven hundred fifty-nine thousand, three hundred sixty".