31966968 has 64 divisors (see below), whose sum is σ = 91785600. Its totient is φ = 9175680.

The previous prime is 31966937. The next prime is 31967027. The reversal of 31966968 is 86966913.

It is a super-2 number, since 2×31966968² = 2043774086226048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1830 + ... + 8202.

It is an arithmetic number, because the mean of its divisors is an integer number (1434150).

Almost surely, 2^31966968 is an apocalyptic number.

31966968 is a gapful number since it is divisible by the number (38) 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 31966968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45892800).

31966968 is an abundant number, since it is smaller than the sum of its proper divisors (59818632).

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

31966968 is a wasteful number, since it uses less digits than its factorization.

31966968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6408 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 31966968 is about 5653.9338517531. The cubic root of 31966968 is about 317.3709331355.

Subtracting 31966968 from its reverse (86966913), we obtain a palindrome (54999945).

The spelling of 31966968 in words is "thirty-one million, nine hundred sixty-six thousand, nine hundred sixty-eight".