32799816 has 120 divisors (see below), whose sum is σ = 106972470. Its totient is φ = 9362304.

The previous prime is 32799803. The next prime is 32799821. The reversal of 32799816 is 61899723.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 13351716 = 4410^2 + 3654^2 .

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 29 ways as a sum of consecutive naturals, for example, 31236 + ... + 32268.

Almost surely, 2^32799816 is an apocalyptic number.

32799816 is a gapful number since it is divisible by the number (36) 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 32799816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53486235).

32799816 is an abundant number, since it is smaller than the sum of its proper divisors (74172654).

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

32799816 is a wasteful number, since it uses less digits than its factorization.

32799816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1045 counting only the distinct ones).

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

The square root of 32799816 is about 5727.1123613912. The cubic root of 32799816 is about 320.1035342068.

The spelling of 32799816 in words is "thirty-two million, seven hundred ninety-nine thousand, eight hundred sixteen".