232644960 has 240 divisors, whose sum is σ = 850726800. Its totient is φ = 59802624.

The previous prime is 232644953. The next prime is 232645001. The reversal of 232644960 is 69446232.

232644960 is a `hidden beast` number, since 2 + 3 + 2 + 644 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375531 + ... + 376149.

It is an arithmetic number, because the mean of its divisors is an integer number (3544695).

Almost surely, 2^232644960 is an apocalyptic number.

232644960 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 232644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425363400).

232644960 is an abundant number, since it is smaller than the sum of its proper divisors (618081840).

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

232644960 is a wasteful number, since it uses less digits than its factorization.

232644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 232644960 is about 15252.7033669445. The cubic root of 232644960 is about 615.0322410224.

It can be divided in two parts, 23264 and 4960, that added together give a square (28224 = 168²).

The spelling of 232644960 in words is "two hundred thirty-two million, six hundred forty-four thousand, nine hundred sixty".