84564880 has 40 divisors (see below), whose sum is σ = 197668152. Its totient is φ = 33644544.

The previous prime is 84564833. The next prime is 84564881. The reversal of 84564880 is 8846548.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 60279696 = 4928^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84564881) by changing a digit.

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, 12702 + ... + 18178.

Almost surely, 2^84564880 is an apocalyptic number.

84564880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84564880 is an abundant number, since it is smaller than the sum of its proper divisors (113103272).

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

84564880 is a wasteful number, since it uses less digits than its factorization.

84564880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 84564880 is about 9195.9164850492. The cubic root of 84564880 is about 438.9314290396.

The spelling of 84564880 in words is "eighty-four million, five hundred sixty-four thousand, eight hundred eighty".