25684560 has 320 divisors, whose sum is σ = 102850560. Its totient is φ = 5829120.

The previous prime is 25684553. The next prime is 25684577. The reversal of 25684560 is 6548652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546457 + ... + 546503.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 2^25684560 is an apocalyptic number.

25684560 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 25684560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).

25684560 is an abundant number, since it is smaller than the sum of its proper divisors (77166000).

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

25684560 is a wasteful number, since it uses less digits than its factorization.

25684560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 25684560 is about 5067.9936858682. The cubic root of 25684560 is about 295.0466650300.

It can be divided in two parts, 25684 and 560, that added together give a square (26244 = 162²).

The spelling of 25684560 in words is "twenty-five million, six hundred eighty-four thousand, five hundred sixty".