31079664 has 120 divisors (see below), whose sum is σ = 108481152. Its totient is φ = 8069760.

The previous prime is 31079663. The next prime is 31079731. The reversal of 31079664 is 46697013.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (31079663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9687 + ... + 12489.

Almost surely, 2^31079664 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 31079664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54240576).

31079664 is an abundant number, since it is smaller than the sum of its proper divisors (77401488).

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

31079664 is a wasteful number, since it uses less digits than its factorization.

31079664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 31079664 is about 5574.9138109930. The cubic root of 31079664 is about 314.4069264057.

The spelling of 31079664 in words is "thirty-one million, seventy-nine thousand, six hundred sixty-four".