331961760 has 384 divisors, whose sum is σ = 1310722560. Its totient is φ = 77856768.

The previous prime is 331961759. The next prime is 331961761. The reversal of 331961760 is 67169133.

331961760 is a `hidden beast` number, since 3 + 31 + 9 + 617 + 6 + 0 = 666.

331961760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331961759) and next prime (331961761).

It is a super-2 number, since 2×331961760² = 220397220204595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (331961761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291552 + ... + 1291808.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2^331961760 is an apocalyptic number.

331961760 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 331961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655361280).

331961760 is an abundant number, since it is smaller than the sum of its proper divisors (978760800).

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

331961760 is a wasteful number, since it uses less digits than its factorization.

331961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 331961760 is about 18219.8177817452. The cubic root of 331961760 is about 692.4089711659.

The spelling of 331961760 in words is "three hundred thirty-one million, nine hundred sixty-one thousand, seven hundred sixty".