31383968 has 96 divisors (see below), whose sum is σ = 78962688. Its totient is φ = 11923200.

The previous prime is 31383967. The next prime is 31383973. The reversal of 31383968 is 86938313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31383967) 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 15 ways as a sum of consecutive naturals, for example, 115673 + ... + 115943.

It is an arithmetic number, because the mean of its divisors is an integer number (822528).

Almost surely, 2^31383968 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 31383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344).

31383968 is an abundant number, since it is smaller than the sum of its proper divisors (47578720).

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

31383968 is a wasteful number, since it uses less digits than its factorization.

31383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 31383968 is about 5602.1395912633. The cubic root of 31383968 is about 315.4297250810.

The spelling of 31383968 in words is "thirty-one million, three hundred eighty-three thousand, nine hundred sixty-eight".