238624560 has 60 divisors (see below), whose sum is σ = 801383232. Its totient is φ = 63633024.

The previous prime is 238624541. The next prime is 238624571. The reversal of 238624560 is 65426832.

238624560 is a `hidden beast` number, since 2 + 38 + 62 + 4 + 560 = 666.

238624560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164992 + ... + 166431.

Almost surely, 2^238624560 is an apocalyptic number.

238624560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238624560 is an abundant number, since it is smaller than the sum of its proper divisors (562758672).

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

238624560 is a wasteful number, since it uses less digits than its factorization.

238624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331442 (or 331433 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 238624560 is about 15447.4774639745. The cubic root of 238624560 is about 620.2570560859.

The spelling of 238624560 in words is "two hundred thirty-eight million, six hundred twenty-four thousand, five hundred sixty".