239564640 has 384 divisors, whose sum is σ = 926650368. Its totient is φ = 50872320.

The previous prime is 239564623. The next prime is 239564701. The reversal of 239564640 is 46465932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5097097 + ... + 5097143.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^239564640 is an apocalyptic number.

239564640 is a gapful number since it is divisible by the number (20) 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 239564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463325184).

239564640 is an abundant number, since it is smaller than the sum of its proper divisors (687085728).

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

239564640 is a wasteful number, since it uses less digits than its factorization.

239564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 239564640 is about 15477.8758232517. The cubic root of 239564640 is about 621.0705057628.

The spelling of 239564640 in words is "two hundred thirty-nine million, five hundred sixty-four thousand, six hundred forty".