32681664 has 56 divisors (see below), whose sum is σ = 96083120. Its totient is φ = 10893312.

The previous prime is 32681659. The next prime is 32681683. The reversal of 32681664 is 46618623.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7729 + ... + 11184.

It is an arithmetic number, because the mean of its divisors is an integer number (1715770).

Almost surely, 2^32681664 is an apocalyptic number.

It is an amenable number.

32681664 is an abundant number, since it is smaller than the sum of its proper divisors (63401456).

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

32681664 is a wasteful number, since it uses less digits than its factorization.

32681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18934 (or 18918 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 32681664 is about 5716.7879093071. The cubic root of 32681664 is about 319.7187111451.

The spelling of 32681664 in words is "thirty-two million, six hundred eighty-one thousand, six hundred sixty-four".