332806032 has 120 divisors (see below), whose sum is σ = 1011046400. Its totient is φ = 101585664.

The previous prime is 332806007. The next prime is 332806037. The reversal of 332806032 is 230608233.

332806032 is a `hidden beast` number, since 33 + 28 + 0 + 603 + 2 = 666.

It is a super-2 number, since 2×332806032² = 221519709871170048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332805987 and 332806005.

It is not an unprimeable number, because it can be changed into a prime (332806037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259569 + ... + 260847.

Almost surely, 2^332806032 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 332806032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505523200).

332806032 is an abundant number, since it is smaller than the sum of its proper divisors (678240368).

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

332806032 is a wasteful number, since it uses less digits than its factorization.

332806032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 332806032 is about 18242.9721262737. The cubic root of 332806032 is about 692.9954710698.

The spelling of 332806032 in words is "three hundred thirty-two million, eight hundred six thousand, thirty-two".