84285824 has 64 divisors (see below), whose sum is σ = 202041600. Its totient is φ = 34214400.

The previous prime is 84285809. The next prime is 84285857. The reversal of 84285824 is 42858248.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14549 + ... + 19499.

It is an arithmetic number, because the mean of its divisors is an integer number (3156900).

Almost surely, 2^84285824 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 84285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101020800).

84285824 is an abundant number, since it is smaller than the sum of its proper divisors (117755776).

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

84285824 is a wasteful number, since it uses less digits than its factorization.

84285824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4979 counting only the distinct ones).

The product of its digits is 163840, while the sum is 41.

The square root of 84285824 is about 9180.7311255695. The cubic root of 84285824 is about 438.4480864369.

The spelling of 84285824 in words is "eighty-four million, two hundred eighty-five thousand, eight hundred twenty-four".