239631264 has 96 divisors (see below), whose sum is σ = 701850240. Its totient is φ = 79543296.

The previous prime is 239631257. The next prime is 239631281. The reversal of 239631264 is 462136932.

239631264 is a `hidden beast` number, since 2 + 396 + 3 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290757 + ... + 291579.

It is an arithmetic number, because the mean of its divisors is an integer number (7310940).

Almost surely, 2^239631264 is an apocalyptic number.

239631264 is a gapful number since it is divisible by the number (24) 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 239631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350925120).

239631264 is an abundant number, since it is smaller than the sum of its proper divisors (462218976).

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

239631264 is a wasteful number, since it uses less digits than its factorization.

239631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1165 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 239631264 is about 15480.0279069516. The cubic root of 239631264 is about 621.1280745900.

The spelling of 239631264 in words is "two hundred thirty-nine million, six hundred thirty-one thousand, two hundred sixty-four".