331615680 has 224 divisors, whose sum is σ = 1186818048. Its totient is φ = 77721600.

The previous prime is 331615639. The next prime is 331615709. The reversal of 331615680 is 86516133.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 326854 + ... + 327866.

Almost surely, 2^331615680 is an apocalyptic number.

331615680 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 331615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593409024).

331615680 is an abundant number, since it is smaller than the sum of its proper divisors (855202368).

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

331615680 is a wasteful number, since it uses less digits than its factorization.

331615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 331615680 is about 18210.3179543906. The cubic root of 331615680 is about 692.1682685235.

The spelling of 331615680 in words is "three hundred thirty-one million, six hundred fifteen thousand, six hundred eighty".