332832816 has 60 divisors (see below), whose sum is σ = 971977968. Its totient is φ = 106119552.

The previous prime is 332832719. The next prime is 332832821. The reversal of 332832816 is 618238233.

332832816 is a `hidden beast` number, since 3 + 328 + 328 + 1 + 6 = 666.

It is a super-2 number, since 2×332832816² = 221555366812979712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46935 + ... + 53558.

Almost surely, 2^332832816 is an apocalyptic number.

332832816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

332832816 is an abundant number, since it is smaller than the sum of its proper divisors (639145152).

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

332832816 is a wasteful number, since it uses less digits than its factorization.

332832816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100530 (or 100521 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 332832816 is about 18243.7062024140. The cubic root of 332832816 is about 693.0140611703.

The spelling of 332832816 in words is "three hundred thirty-two million, eight hundred thirty-two thousand, eight hundred sixteen".