31947968 has 112 divisors (see below), whose sum is σ = 75102720. Its totient is φ = 13353984.

The previous prime is 31947961. The next prime is 31947973. The reversal of 31947968 is 86974913.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31947961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679721 + ... + 679767.

It is an arithmetic number, because the mean of its divisors is an integer number (670560).

Almost surely, 2^31947968 is an apocalyptic number.

31947968 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 31947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

31947968 is an abundant number, since it is smaller than the sum of its proper divisors (43154752).

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

31947968 is a wasteful number, since it uses less digits than its factorization.

31947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 31947968 is about 5652.2533559634. The cubic root of 31947968 is about 317.3080427710.

The spelling of 31947968 in words is "thirty-one million, nine hundred forty-seven thousand, nine hundred sixty-eight".