84582468 has 72 divisors (see below), whose sum is σ = 223449408. Its totient is φ = 27975456.

The previous prime is 84582451. The next prime is 84582503. The reversal of 84582468 is 86428548.

84582468 is a `hidden beast` number, since 8 + 4 + 582 + 4 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167905 + ... + 168407.

It is an arithmetic number, because the mean of its divisors is an integer number (3103464).

Almost surely, 2^84582468 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 84582468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111724704).

84582468 is an abundant number, since it is smaller than the sum of its proper divisors (138866940).

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

84582468 is a wasteful number, since it uses less digits than its factorization.

84582468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 84582468 is about 9196.8727293575. The cubic root of 84582468 is about 438.9618569226.

The spelling of 84582468 in words is "eighty-four million, five hundred eighty-two thousand, four hundred sixty-eight".