332960832 has 168 divisors, whose sum is σ = 1020714240. Its totient is φ = 103541760.

The previous prime is 332960821. The next prime is 332960839. The reversal of 332960832 is 238069233.

It is a super-2 number, since 2×332960832² = 221725831292264448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332960839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517503 + ... + 518145.

It is an arithmetic number, because the mean of its divisors is an integer number (6075680).

Almost surely, 2^332960832 is an apocalyptic number.

332960832 is a gapful number since it is divisible by the number (32) 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 332960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510357120).

332960832 is an abundant number, since it is smaller than the sum of its proper divisors (687753408).

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

332960832 is a wasteful number, since it uses less digits than its factorization.

332960832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 332960832 is about 18247.2143627459. The cubic root of 332960832 is about 693.1029000828.

The spelling of 332960832 in words is "three hundred thirty-two million, nine hundred sixty thousand, eight hundred thirty-two".