23638560 has 192 divisors, whose sum is σ = 84115584. Its totient is φ = 5575680.

The previous prime is 23638553. The next prime is 23638579. The reversal of 23638560 is 6583632.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638862 + ... + 638898.

It is an arithmetic number, because the mean of its divisors is an integer number (438102).

Almost surely, 2^23638560 is an apocalyptic number.

23638560 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 23638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057792).

23638560 is an abundant number, since it is smaller than the sum of its proper divisors (60477024).

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

23638560 is a wasteful number, since it uses less digits than its factorization.

23638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 23638560 is about 4861.9502259896. The cubic root of 23638560 is about 286.9945650045.

The spelling of 23638560 in words is "twenty-three million, six hundred thirty-eight thousand, five hundred sixty".