239120640 has 576 divisors, whose sum is σ = 1006629120. Its totient is φ = 53084160.

The previous prime is 239120633. The next prime is 239120641. The reversal of 239120640 is 46021932.

239120640 is a `hidden beast` number, since 2 + 3 + 9 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239120641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462702 + ... + 6462738.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 2^239120640 is an apocalyptic number.

239120640 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 239120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503314560).

239120640 is an abundant number, since it is smaller than the sum of its proper divisors (767508480).

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

239120640 is a wasteful number, since it uses less digits than its factorization.

239120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 239120640 is about 15463.5261179331. The cubic root of 239120640 is about 620.6865789886.

The spelling of 239120640 in words is "two hundred thirty-nine million, one hundred twenty thousand, six hundred forty".