32826768 has 80 divisors (see below), whose sum is σ = 94327296. Its totient is φ = 9768960.

The previous prime is 32826751. The next prime is 32826797. The reversal of 32826768 is 86762823.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 18496 + ... + 20192.

Almost surely, 2^32826768 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 32826768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47163648).

32826768 is an abundant number, since it is smaller than the sum of its proper divisors (61500528).

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

32826768 is a wasteful number, since it uses less digits than its factorization.

32826768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 32826768 is about 5729.4648964803. The cubic root of 32826768 is about 320.1911878331.

The spelling of 32826768 in words is "thirty-two million, eight hundred twenty-six thousand, seven hundred sixty-eight".