31536768 has 64 divisors (see below), whose sum is σ = 88715520. Its totient is φ = 9891840.

The previous prime is 31536733. The next prime is 31536773. The reversal of 31536768 is 86763513.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4113 + ... + 8943.

It is an arithmetic number, because the mean of its divisors is an integer number (1386180).

Almost surely, 2^31536768 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 31536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44357760).

31536768 is an abundant number, since it is smaller than the sum of its proper divisors (57178752).

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

31536768 is a wasteful number, since it uses less digits than its factorization.

31536768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4853 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 31536768 is about 5615.7606786614. The cubic root of 31536768 is about 315.9408103635.

The spelling of 31536768 in words is "thirty-one million, five hundred thirty-six thousand, seven hundred sixty-eight".