23638320 has 60 divisors (see below), whose sum is σ = 79387776. Its totient is φ = 6303360.

The previous prime is 23638309. The next prime is 23638327. The reversal of 23638320 is 2383632.

23638320 is a `hidden beast` number, since 2 + 3 + 638 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23638327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15696 + ... + 17135.

Almost surely, 2^23638320 is an apocalyptic number.

23638320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23638320 is an abundant number, since it is smaller than the sum of its proper divisors (55749456).

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

23638320 is a wasteful number, since it uses less digits than its factorization.

23638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32850 (or 32841 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23638320 is about 4861.9255444731. The cubic root of 23638320 is about 286.9935937252.

The spelling of 23638320 in words is "twenty-three million, six hundred thirty-eight thousand, three hundred twenty".