25757664 has 48 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 8462720.

The previous prime is 25757663. The next prime is 25757701. The reversal of 25757664 is 46675752.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25757663) 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, 4927 + ... + 8705.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^25757664 is an apocalyptic number.

25757664 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 25757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

25757664 is an abundant number, since it is smaller than the sum of its proper divisors (42826656).

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

25757664 is a wasteful number, since it uses less digits than its factorization.

25757664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3855 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 25757664 is about 5075.2008827238. The cubic root of 25757664 is about 295.3263227986.

The spelling of 25757664 in words is "twenty-five million, seven hundred fifty-seven thousand, six hundred sixty-four".