23638720 has 112 divisors (see below), whose sum is σ = 65763648. Its totient is φ = 7925760.

The previous prime is 23638711. The next prime is 23638751. The reversal of 23638720 is 2783632.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136554 + ... + 136726.

Almost surely, 2^23638720 is an apocalyptic number.

23638720 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 23638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32881824).

23638720 is an abundant number, since it is smaller than the sum of its proper divisors (42124928).

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

23638720 is a wasteful number, since it uses less digits than its factorization.

23638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 23638720 is about 4861.9666802643. The cubic root of 23638720 is about 286.9952125203.

The spelling of 23638720 in words is "twenty-three million, six hundred thirty-eight thousand, seven hundred twenty".