31601664 has 132 divisors (see below), whose sum is σ = 95373824. Its totient is φ = 10450944.

The previous prime is 31601651. The next prime is 31601671. The reversal of 31601664 is 46610613.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248769 + ... + 248895.

Almost surely, 2^31601664 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 31601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47686912).

31601664 is an abundant number, since it is smaller than the sum of its proper divisors (63772160).

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

31601664 is an equidigital number, since it uses as much as digits as its factorization.

31601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 31601664 is about 5621.5357332316. The cubic root of 31601664 is about 316.1573750103.

The spelling of 31601664 in words is "thirty-one million, six hundred one thousand, six hundred sixty-four".