238637664 has 72 divisors (see below), whose sum is σ = 703783080. Its totient is φ = 79543296.

The previous prime is 238637647. The next prime is 238637669. The reversal of 238637664 is 466736832.

238637664 is a `hidden beast` number, since 2 + 3 + 8 + 637 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238637669) 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, 7569 + ... + 23120.

It is an arithmetic number, because the mean of its divisors is an integer number (9774765).

Almost surely, 2^238637664 is an apocalyptic number.

238637664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238637664 is an abundant number, since it is smaller than the sum of its proper divisors (465145416).

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

238637664 is an equidigital number, since it uses as much as digits as its factorization.

238637664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30714 (or 30694 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 238637664 is about 15447.9016050725. The cubic root of 238637664 is about 620.2684096248.

The spelling of 238637664 in words is "two hundred thirty-eight million, six hundred thirty-seven thousand, six hundred sixty-four".