239664096 has 432 divisors, whose sum is σ = 894072816. Its totient is φ = 62705664.

The previous prime is 239664041. The next prime is 239664097. The reversal of 239664096 is 690466932.

239664096 is a `hidden beast` number, since 239 + 6 + 6 + 409 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×239664096² = 114877757822994432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239664097) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6477390 + ... + 6477426.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 2^239664096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239664096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447036408).

239664096 is an abundant number, since it is smaller than the sum of its proper divisors (654408720).

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

239664096 is a wasteful number, since it uses less digits than its factorization.

239664096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 239664096 is about 15481.0883338349. The cubic root of 239664096 is about 621.1564403179.

The spelling of 239664096 in words is "two hundred thirty-nine million, six hundred sixty-four thousand, ninety-six".