84135636 has 54 divisors (see below), whose sum is σ = 230310990. Its totient is φ = 25886016.

The previous prime is 84135631. The next prime is 84135637. The reversal of 84135636 is 63653148.

84135636 is a `hidden beast` number, since 8 + 4 + 13 + 5 + 636 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3027600 + 81108036 = 1740^2 + 9006^2 .

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 84135636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84135631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831 + ... + 12998.

Almost surely, 2^84135636 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 84135636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115155495).

84135636 is an abundant number, since it is smaller than the sum of its proper divisors (146175354).

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

84135636 is a wasteful number, since it uses less digits than its factorization.

84135636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865 (or 13847 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 84135636 is about 9172.5479557209. The cubic root of 84135636 is about 438.1875096317.

The spelling of 84135636 in words is "eighty-four million, one hundred thirty-five thousand, six hundred thirty-six".