84564576 has 72 divisors (see below), whose sum is σ = 241375680. Its totient is φ = 28083456.

The previous prime is 84564569. The next prime is 84564581. The reversal of 84564576 is 67546548.

84564576 is a `hidden beast` number, since 84 + 564 + 5 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137646 + ... + 138258.

It is an arithmetic number, because the mean of its divisors is an integer number (3352440).

Almost surely, 2^84564576 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 84564576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120687840).

84564576 is an abundant number, since it is smaller than the sum of its proper divisors (156811104).

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

84564576 is a wasteful number, since it uses less digits than its factorization.

84564576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1097 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 84564576 is about 9195.8999559586. The cubic root of 84564576 is about 438.9309030714.

The spelling of 84564576 in words is "eighty-four million, five hundred sixty-four thousand, five hundred seventy-six".