31711968 has 72 divisors (see below), whose sum is σ = 90909000. Its totient is φ = 10485504.

The previous prime is 31711961. The next prime is 31711973. The reversal of 31711968 is 86911713.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31711961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42543 + ... + 43281.

It is an arithmetic number, because the mean of its divisors is an integer number (1262625).

Almost surely, 2^31711968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31711968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45454500).

31711968 is an abundant number, since it is smaller than the sum of its proper divisors (59197032).

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

31711968 is a wasteful number, since it uses less digits than its factorization.

31711968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 31711968 is about 5631.3380292787. The cubic root of 31711968 is about 316.5247916011.

The spelling of 31711968 in words is "thirty-one million, seven hundred eleven thousand, nine hundred sixty-eight".