331861320 has 192 divisors, whose sum is σ = 1287014400. Its totient is φ = 75841920.

The previous prime is 331861303. The next prime is 331861333. The reversal of 331861320 is 23168133.

It is a happy number.

331861320 is a `hidden beast` number, since 33 + 18 + 613 + 2 + 0 = 666.

It is a super-2 number, since 2×331861320² = 220263871424284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49785 + ... + 56055.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2^331861320 is an apocalyptic number.

331861320 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 331861320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643507200).

331861320 is an abundant number, since it is smaller than the sum of its proper divisors (955153080).

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

331861320 is a wasteful number, since it uses less digits than its factorization.

331861320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 331861320 is about 18217.0612339093. The cubic root of 331861320 is about 692.3391312219.

The spelling of 331861320 in words is "three hundred thirty-one million, eight hundred sixty-one thousand, three hundred twenty".