332532816 has 120 divisors (see below), whose sum is σ = 1090224864. Its totient is φ = 86365440.

The previous prime is 332532793. The next prime is 332532833. The reversal of 332532816 is 618235233.

332532816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332532816² = 221156147433779712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 19446 + ... + 32298.

Almost surely, 2^332532816 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 332532816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545112432).

332532816 is an abundant number, since it is smaller than the sum of its proper divisors (757692048).

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

332532816 is a wasteful number, since it uses less digits than its factorization.

332532816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12876 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 332532816 is about 18235.4823352715. The cubic root of 332532816 is about 692.8057817132.

The spelling of 332532816 in words is "three hundred thirty-two million, five hundred thirty-two thousand, eight hundred sixteen".