32800164 has 48 divisors (see below), whose sum is σ = 79074240. Its totient is φ = 10575360.

The previous prime is 32800153. The next prime is 32800169. The reversal of 32800164 is 46100823.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32800169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79992 + ... + 80400.

It is an arithmetic number, because the mean of its divisors is an integer number (1647380).

Almost surely, 2^32800164 is an apocalyptic number.

It is an amenable number.

32800164 is an abundant number, since it is smaller than the sum of its proper divisors (46274076).

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

32800164 is a wasteful number, since it uses less digits than its factorization.

32800164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 32800164 is about 5727.1427431137. The cubic root of 32800164 is about 320.1046662826.

Adding to 32800164 its reverse (46100823), we get a palindrome (78900987).

The spelling of 32800164 in words is "thirty-two million, eight hundred thousand, one hundred sixty-four".