332880 has 80 divisors (see below), whose sum is σ = 1101120. Its totient is φ = 82944.

The previous prime is 332873. The next prime is 332881. The reversal of 332880 is 88233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×332880² = 221618188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 332880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4524 + ... + 4596.

It is an arithmetic number, because the mean of its divisors is an integer number (13764).

2³³²⁸⁸⁰ is an apocalyptic number.

332880 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 332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560).

332880 is an abundant number, since it is smaller than the sum of its proper divisors (768240).

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

332880 is a wasteful number, since it uses less digits than its factorization.

332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 332880 is about 576.9575374323. The cubic root of 332880 is about 69.3046807972.

The spelling of 332880 in words is "three hundred thirty-two thousand, eight hundred eighty".