332613120 has 320 divisors, whose sum is σ = 1272775680. Its totient is φ = 72450048.

The previous prime is 332613119. The next prime is 332613133. The reversal of 332613120 is 21316233.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×332613120² = 221262975192268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1236346 + ... + 1236614.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^332613120 is an apocalyptic number.

332613120 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 332613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636387840).

332613120 is an abundant number, since it is smaller than the sum of its proper divisors (940162560).

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

332613120 is a wasteful number, since it uses less digits than its factorization.

332613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 332613120 is about 18237.6840634989. The cubic root of 332613120 is about 692.8615462322.

Adding to 332613120 its reverse (21316233), we get a palindrome (353929353).

The spelling of 332613120 in words is "three hundred thirty-two million, six hundred thirteen thousand, one hundred twenty".