25584768 has 128 divisors (see below), whose sum is σ = 82497600. Its totient is φ = 7741440.

The previous prime is 25584761. The next prime is 25584787. The reversal of 25584768 is 86748552.

25584768 is a `hidden beast` number, since 2 + 5 + 584 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×25584768² = 1309160707227648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25584761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37680 + ... + 38352.

Almost surely, 2^25584768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41248800).

25584768 is an abundant number, since it is smaller than the sum of its proper divisors (56912832).

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

25584768 is a wasteful number, since it uses less digits than its factorization.

25584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 25584768 is about 5058.1387881315. The cubic root of 25584768 is about 294.6640549944.

The spelling of 25584768 in words is "twenty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".