84584864 has 96 divisors (see below), whose sum is σ = 211792896. Its totient is φ = 32348160.

The previous prime is 84584861. The next prime is 84584897. The reversal of 84584864 is 46848548.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84584861) 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, 89804 + ... + 90740.

It is an arithmetic number, because the mean of its divisors is an integer number (2206176).

Almost surely, 2^84584864 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 84584864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105896448).

84584864 is an abundant number, since it is smaller than the sum of its proper divisors (127208032).

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

84584864 is a wasteful number, since it uses less digits than its factorization.

84584864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its digits is 983040, while the sum is 47.

The square root of 84584864 is about 9197.0029901050. The cubic root of 84584864 is about 438.9660017638.

The spelling of 84584864 in words is "eighty-four million, five hundred eighty-four thousand, eight hundred sixty-four".