25864960 has 108 divisors (see below), whose sum is σ = 68506704. Its totient is φ = 9349120.

The previous prime is 25864957. The next prime is 25864987. The reversal of 25864960 is 6946852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154797 + ... + 154963.

Almost surely, 2^25864960 is an apocalyptic number.

25864960 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 25864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253352).

25864960 is an abundant number, since it is smaller than the sum of its proper divisors (42641744).

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

25864960 is a wasteful number, since it uses less digits than its factorization.

25864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 25864960 is about 5085.7605134336. The cubic root of 25864960 is about 295.7358246826.

The spelling of 25864960 in words is "twenty-five million, eight hundred sixty-four thousand, nine hundred sixty".