32612664 has 128 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 8294400.

The previous prime is 32612641. The next prime is 32612669. The reversal of 32612664 is 46621623.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32612669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53964 + ... + 54564.

It is an arithmetic number, because the mean of its divisors is an integer number (812700).

Almost surely, 2^32612664 is an apocalyptic number.

32612664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32612664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

32612664 is an abundant number, since it is smaller than the sum of its proper divisors (71412936).

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

32612664 is a wasteful number, since it uses less digits than its factorization.

32612664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 649 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 32612664 is about 5710.7498631966. The cubic root of 32612664 is about 319.4935478381.

The spelling of 32612664 in words is "thirty-two million, six hundred twelve thousand, six hundred sixty-four".