32631664 has 80 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 13609728.

The previous prime is 32631659. The next prime is 32631667. The reversal of 32631664 is 46613623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32631667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90717 + ... + 91075.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^32631664 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 32631664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

32631664 is an abundant number, since it is smaller than the sum of its proper divisors (42363536).

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

32631664 is a wasteful number, since it uses less digits than its factorization.

32631664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 32631664 is about 5712.4131503245. The cubic root of 32631664 is about 319.5555809891. Note that the first 4 decimals are identical.

The spelling of 32631664 in words is "thirty-two million, six hundred thirty-one thousand, six hundred sixty-four".