239664 has 20 divisors (see below), whose sum is σ = 619256. Its totient is φ = 79872.

The previous prime is 239641. The next prime is 239671. The reversal of 239664 is 466932.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

239664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2449 + ... + 2544.

2²³⁹⁶⁶⁴ is an apocalyptic number.

239664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

239664 is an abundant number, since it is smaller than the sum of its proper divisors (379592).

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

239664 is a wasteful number, since it uses less digits than its factorization.

239664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4998 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 239664 is about 489.5548998836. The cubic root of 239664 is about 62.1156357381.

It can be divided in two parts, 239 and 664, that added together give a triangular number (903 = T₄₂).

The spelling of 239664 in words is "two hundred thirty-nine thousand, six hundred sixty-four".