331683660 has 240 divisors, whose sum is σ = 1297739520. Its totient is φ = 68895360.

The previous prime is 331683637. The next prime is 331683661. The reversal of 331683660 is 66386133.

It is a super-2 number, since 2×331683660² = 220028100621991200, 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 (331683661) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123411 + ... + 126069.

It is an arithmetic number, because the mean of its divisors is an integer number (5407248).

Almost surely, 2^331683660 is an apocalyptic number.

331683660 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 331683660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648869760).

331683660 is an abundant number, since it is smaller than the sum of its proper divisors (966055860).

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

331683660 is a wasteful number, since it uses less digits than its factorization.

331683660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 331683660 is about 18212.1843829893. The cubic root of 331683660 is about 692.2155626121.

The spelling of 331683660 in words is "three hundred thirty-one million, six hundred eighty-three thousand, six hundred sixty".