239123664 has 280 divisors, whose sum is σ = 796928160. Its totient is φ = 68864256.

The previous prime is 239123659. The next prime is 239123699. The reversal of 239123664 is 466321932.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2880967 + ... + 2881049.

It is an arithmetic number, because the mean of its divisors is an integer number (2846172).

Almost surely, 2^239123664 is an apocalyptic number.

239123664 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 239123664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398464080).

239123664 is an abundant number, since it is smaller than the sum of its proper divisors (557804496).

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

239123664 is a wasteful number, since it uses less digits than its factorization.

239123664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

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

The square root of 239123664 is about 15463.6238960989. The cubic root of 239123664 is about 620.6891954479.

The spelling of 239123664 in words is "two hundred thirty-nine million, one hundred twenty-three thousand, six hundred sixty-four".