25879600 has 120 divisors (see below), whose sum is σ = 67808160. Its totient is φ = 9461760.

The previous prime is 25879597. The next prime is 25879631. The reversal of 25879600 is 697852.

It is a self number, because there is not a number n which added to its sum of digits gives 25879600.

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, 266752 + ... + 266848.

It is an arithmetic number, because the mean of its divisors is an integer number (565068).

Almost surely, 2^25879600 is an apocalyptic number.

25879600 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 25879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904080).

25879600 is an abundant number, since it is smaller than the sum of its proper divisors (41928560).

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

25879600 is a wasteful number, since it uses less digits than its factorization.

25879600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 25879600 is about 5087.1996225822. The cubic root of 25879600 is about 295.7916112997.

The spelling of 25879600 in words is "twenty-five million, eight hundred seventy-nine thousand, six hundred".