331685760 has 512 divisors, whose sum is σ = 1339545600. Its totient is φ = 68124672.

The previous prime is 331685749. The next prime is 331685779. The reversal of 331685760 is 67586133.

It is a super-2 number, since 2×331685760² = 220030886773555200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8964462 + ... + 8964498.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^331685760 is an apocalyptic number.

331685760 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 331685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).

331685760 is an abundant number, since it is smaller than the sum of its proper divisors (1007859840).

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

331685760 is a wasteful number, since it uses less digits than its factorization.

331685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 331685760 is about 18212.2420366082. The cubic root of 331685760 is about 692.2170234916.

The spelling of 331685760 in words is "three hundred thirty-one million, six hundred eighty-five thousand, seven hundred sixty".