84090636 has 144 divisors (see below), whose sum is σ = 267111936. Its totient is φ = 22581504.

The previous prime is 84090577. The next prime is 84090659. The reversal of 84090636 is 63609048.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84090636.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115305 + ... + 116031.

It is an arithmetic number, because the mean of its divisors is an integer number (1854944).

Almost surely, 2^84090636 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 84090636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133555968).

84090636 is an abundant number, since it is smaller than the sum of its proper divisors (183021300).

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

84090636 is a wasteful number, since it uses less digits than its factorization.

84090636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 84090636 is about 9170.0946560000. The cubic root of 84090636 is about 438.1093740743.

The spelling of 84090636 in words is "eighty-four million, ninety thousand, six hundred thirty-six".