239952096 has 72 divisors (see below), whose sum is σ = 689073840. Its totient is φ = 79197696.

The previous prime is 239952091. The next prime is 239952109. The reversal of 239952096 is 690259932.

239952096 is a `hidden beast` number, since 2 + 39 + 9 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239952091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25620 + ... + 33708.

It is an arithmetic number, because the mean of its divisors is an integer number (9570470).

Almost surely, 2^239952096 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 239952096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344536920).

239952096 is an abundant number, since it is smaller than the sum of its proper divisors (449121744).

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

239952096 is a wasteful number, since it uses less digits than its factorization.

239952096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8197 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 239952096 is about 15490.3872127200. The cubic root of 239952096 is about 621.4051515323.

The spelling of 239952096 in words is "two hundred thirty-nine million, nine hundred fifty-two thousand, ninety-six".