332160000 has 220 divisors, whose sum is σ = 1112700072. Its totient is φ = 88064000.

The previous prime is 332159999. The next prime is 332160007. The reversal of 332160000 is 61233.

It is a super-2 number, since 2×332160000² = 220660531200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332160007) 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 19 ways as a sum of consecutive naturals, for example, 1919914 + ... + 1920086.

Almost surely, 2^332160000 is an apocalyptic number.

332160000 is a gapful number since it is divisible by the number (30) 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 332160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556350036).

332160000 is an abundant number, since it is smaller than the sum of its proper divisors (780540072).

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

332160000 is an equidigital number, since it uses as much as digits as its factorization.

332160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 332160000 is about 18225.2571998312. The cubic root of 332160000 is about 692.5467740261.

The spelling of 332160000 in words is "three hundred thirty-two million, one hundred sixty thousand".