31063968 has 72 divisors (see below), whose sum is σ = 95144868. Its totient is φ = 9556992.

The previous prime is 31063957. The next prime is 31063969. The reversal of 31063968 is 86936013.

It is a happy number.

31063968 is a `hidden beast` number, since 3 + 10 + 639 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 725904 = 5508^2 + 852^2 .

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 not an unprimeable number, because it can be changed into a prime (31063969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 7892.

Almost surely, 2^31063968 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 31063968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47572434).

31063968 is an abundant number, since it is smaller than the sum of its proper divisors (64080900).

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

31063968 is a wasteful number, since it uses less digits than its factorization.

31063968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31063968 is about 5573.5058984449. The cubic root of 31063968 is about 314.3539897319.

The spelling of 31063968 in words is "thirty-one million, sixty-three thousand, nine hundred sixty-eight".