25864320 has 128 divisors (see below), whose sum is σ = 86904000. Its totient is φ = 6524928.

The previous prime is 25864313. The next prime is 25864343. The reversal of 25864320 is 2346852.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36126 + ... + 36834.

Almost surely, 2^25864320 is an apocalyptic number.

25864320 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 25864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43452000).

25864320 is an abundant number, since it is smaller than the sum of its proper divisors (61039680).

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

25864320 is a wasteful number, since it uses less digits than its factorization.

25864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 25864320 is about 5085.6975922679. The cubic root of 25864320 is about 295.7333854432.

The spelling of 25864320 in words is "twenty-five million, eight hundred sixty-four thousand, three hundred twenty".