84772688 has 160 divisors (see below), whose sum is σ = 226652160. Its totient is φ = 29652480.

The previous prime is 84772657. The next prime is 84772703. The reversal of 84772688 is 88627748.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1073033 + ... + 1073111.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 2^84772688 is an apocalyptic number.

84772688 is a gapful number since it is divisible by the number (88) 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 84772688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113326080).

84772688 is an abundant number, since it is smaller than the sum of its proper divisors (141879472).

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

84772688 is a wasteful number, since it uses less digits than its factorization.

84772688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 50.

The square root of 84772688 is about 9207.2084803158. The cubic root of 84772688 is about 439.2906752928.

The spelling of 84772688 in words is "eighty-four million, seven hundred seventy-two thousand, six hundred eighty-eight".