25627680 has 216 divisors, whose sum is σ = 96795972. Its totient is φ = 6137856.

The previous prime is 25627649. The next prime is 25627729. The reversal of 25627680 is 8672652.

25627680 is a `hidden beast` number, since 25 + 627 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17539344 + 8088336 = 4188^2 + 2844^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 692622 + ... + 692658.

Almost surely, 2^25627680 is an apocalyptic number.

25627680 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 25627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48397986).

25627680 is an abundant number, since it is smaller than the sum of its proper divisors (71168292).

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

25627680 is a wasteful number, since it uses less digits than its factorization.

25627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 25627680 is about 5062.3788874402. The cubic root of 25627680 is about 294.8287045379.

The spelling of 25627680 in words is "twenty-five million, six hundred twenty-seven thousand, six hundred eighty".