25568640 has 192 divisors, whose sum is σ = 92607840. Its totient is φ = 6488064.

The previous prime is 25568639. The next prime is 25568651. The reversal of 25568640 is 4686552.

25568640 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 25568595 and 25568604.

It is a congruent number.

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, 132384 + ... + 132576.

Almost surely, 2^25568640 is an apocalyptic number.

25568640 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 25568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46303920).

25568640 is an abundant number, since it is smaller than the sum of its proper divisors (67039200).

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

25568640 is a wasteful number, since it uses less digits than its factorization.

25568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

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

The square root of 25568640 is about 5056.5442745021. The cubic root of 25568640 is about 294.6021256879.

The spelling of 25568640 in words is "twenty-five million, five hundred sixty-eight thousand, six hundred forty".