25625600 has 264 divisors, whose sum is σ = 85286208. Its totient is φ = 7372800.

The previous prime is 25625581. The next prime is 25625617. The reversal of 25625600 is 652652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 25625600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971194 + ... + 1971206.

Almost surely, 2^25625600 is an apocalyptic number.

25625600 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 25625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42643104).

25625600 is an abundant number, since it is smaller than the sum of its proper divisors (59660608).

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

25625600 is a wasteful number, since it uses less digits than its factorization.

25625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 25625600 is about 5062.1734462580. The cubic root of 25625600 is about 294.8207280024.

It can be divided in two parts, 256 and 25600, that multiplied together give a square (6553600 = 2560²).

The spelling of 25625600 in words is "twenty-five million, six hundred twenty-five thousand, six hundred".