25604160 has 112 divisors (see below), whose sum is σ = 82296000. Its totient is φ = 6744064.

The previous prime is 25604147. The next prime is 25604167. The reversal of 25604160 is 6140652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25604160.

It is not an unprimeable number, because it can be changed into a prime (25604167) 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, 142951 + ... + 143129.

Almost surely, 2^25604160 is an apocalyptic number.

25604160 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 25604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41148000).

25604160 is an abundant number, since it is smaller than the sum of its proper divisors (56691840).

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

25604160 is a wasteful number, since it uses less digits than its factorization.

25604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 25604160 is about 5060.0553356658. The cubic root of 25604160 is about 294.7384831631.

The spelling of 25604160 in words is "twenty-five million, six hundred four thousand, one hundred sixty".