32791968 has 108 divisors (see below), whose sum is σ = 102609234. Its totient is φ = 9926400.

The previous prime is 32791949. The next prime is 32791981. The reversal of 32791968 is 86919723.

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 6290064 = 5148^2 + 2508^2 .

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 17 ways as a sum of consecutive naturals, for example, 34378 + ... + 35318.

Almost surely, 2^32791968 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 32791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51304617).

32791968 is an abundant number, since it is smaller than the sum of its proper divisors (69817266).

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

32791968 is a wasteful number, since it uses less digits than its factorization.

32791968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 957 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 32791968 is about 5726.4271583597. The cubic root of 32791968 is about 320.0780018184.

The spelling of 32791968 in words is "thirty-two million, seven hundred ninety-one thousand, nine hundred sixty-eight".