25578560 has 112 divisors (see below), whose sum is σ = 73395840. Its totient is φ = 8294400.

The previous prime is 25578521. The next prime is 25578577. The reversal of 25578560 is 6587552.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 42260 + ... + 42860.

It is an arithmetic number, because the mean of its divisors is an integer number (655320).

Almost surely, 2^25578560 is an apocalyptic number.

25578560 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 25578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36697920).

25578560 is an abundant number, since it is smaller than the sum of its proper divisors (47817280).

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

25578560 is a wasteful number, since it uses less digits than its factorization.

25578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 25578560 is about 5057.5250864430. The cubic root of 25578560 is about 294.6402202082.

The spelling of 25578560 in words is "twenty-five million, five hundred seventy-eight thousand, five hundred sixty".