32117664 has 48 divisors (see below), whose sum is σ = 85482432. Its totient is φ = 10556928.

The previous prime is 32117639. The next prime is 32117671. The reversal of 32117664 is 46671123.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4717 + ... + 9299.

It is an arithmetic number, because the mean of its divisors is an integer number (1780884).

Almost surely, 2^32117664 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 32117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42741216).

32117664 is an abundant number, since it is smaller than the sum of its proper divisors (53364768).

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

32117664 is a wasteful number, since it uses less digits than its factorization.

32117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4661 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 32117664 is about 5667.2448332501. The cubic root of 32117664 is about 317.8688593393.

Adding to 32117664 its reverse (46671123), we get a palindrome (78788787).

The spelling of 32117664 in words is "thirty-two million, one hundred seventeen thousand, six hundred sixty-four".