84132864 has 176 divisors, whose sum is σ = 265291200. Its totient is φ = 26247168.

The previous prime is 84132823. The next prime is 84132869. The reversal of 84132864 is 46823148.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84132869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469927 + ... + 470105.

Almost surely, 2^84132864 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 84132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132645600).

84132864 is an abundant number, since it is smaller than the sum of its proper divisors (181158336).

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

84132864 is a wasteful number, since it uses less digits than its factorization.

84132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 84132864 is about 9172.3968514233. The cubic root of 84132864 is about 438.1826972867.

The spelling of 84132864 in words is "eighty-four million, one hundred thirty-two thousand, eight hundred sixty-four".