25971264 has 84 divisors (see below), whose sum is σ = 81229200. Its totient is φ = 7868160.

The previous prime is 25971263. The next prime is 25971293. The reversal of 25971264 is 46217952.

25971264 is a `hidden beast` number, since 2 + 597 + 1 + 2 + 64 = 666.

It is a super-3 number, since 3×25971264³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25971263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4287 + ... + 8385.

Almost surely, 2^25971264 is an apocalyptic number.

25971264 is a gapful number since it is divisible by the number (24) 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 25971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40614600).

25971264 is an abundant number, since it is smaller than the sum of its proper divisors (55257936).

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

25971264 is a wasteful number, since it uses less digits than its factorization.

25971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4115 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 25971264 is about 5096.2009379537. The cubic root of 25971264 is about 296.1404252136.

The spelling of 25971264 in words is "twenty-five million, nine hundred seventy-one thousand, two hundred sixty-four".