25613688 has 64 divisors (see below), whose sum is σ = 66816000. Its totient is φ = 8173440.

The previous prime is 25613683. The next prime is 25613689. The reversal of 25613688 is 88631652.

It is a happy number.

It is a super-2 number, since 2×25613688² = 1312122025922688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25613683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128613 + ... + 128811.

It is an arithmetic number, because the mean of its divisors is an integer number (1044000).

Almost surely, 2^25613688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25613688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33408000).

25613688 is an abundant number, since it is smaller than the sum of its proper divisors (41202312).

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

25613688 is a wasteful number, since it uses less digits than its factorization.

25613688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 25613688 is about 5060.9967397737. The cubic root of 25613688 is about 294.7750386811.

The spelling of 25613688 in words is "twenty-five million, six hundred thirteen thousand, six hundred eighty-eight".