331664040 has 192 divisors, whose sum is σ = 1126794240. Its totient is φ = 84510720.

The previous prime is 331664027. The next prime is 331664063. The reversal of 331664040 is 40466133.

331664040 is a `hidden beast` number, since 3 + 3 + 16 + 640 + 4 + 0 = 666.

It is a super-2 number, since 2×331664040² = 220002070858243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331663995 and 331664013.

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 47 ways as a sum of consecutive naturals, for example, 1260949 + ... + 1261211.

It is an arithmetic number, because the mean of its divisors is an integer number (5868720).

Almost surely, 2^331664040 is an apocalyptic number.

331664040 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 331664040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563397120).

331664040 is an abundant number, since it is smaller than the sum of its proper divisors (795130200).

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

331664040 is a wasteful number, since it uses less digits than its factorization.

331664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 331664040 is about 18211.6457246455. The cubic root of 331664040 is about 692.2019135253.

The spelling of 331664040 in words is "three hundred thirty-one million, six hundred sixty-four thousand, forty".