331167120 has 80 divisors (see below), whose sum is σ = 1028749632. Its totient is φ = 88128000.

The previous prime is 331167119. The next prime is 331167139. The reversal of 331167120 is 21761133.

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

It is a super-2 number, since 2×331167120² = 219343322738188800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145995 + ... + 148245.

Almost surely, 2^331167120 is an apocalyptic number.

331167120 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 331167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514374816).

331167120 is an abundant number, since it is smaller than the sum of its proper divisors (697582512).

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

331167120 is a wasteful number, since it uses less digits than its factorization.

331167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 331167120 is about 18197.9976920539. The cubic root of 331167120 is about 691.8560405315.

The spelling of 331167120 in words is "three hundred thirty-one million, one hundred sixty-seven thousand, one hundred twenty".