84636936 has 48 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 28039392.

The previous prime is 84636911. The next prime is 84636967. The reversal of 84636936 is 63963648.

84636936 is a `hidden beast` number, since 8 + 4 + 636 + 9 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 84636891 and 84636900.

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 11 ways as a sum of consecutive naturals, for example, 8505 + ... + 15543.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2^84636936 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 84636936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

84636936 is an abundant number, since it is smaller than the sum of its proper divisors (145993464).

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

84636936 is a wasteful number, since it uses less digits than its factorization.

84636936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7211 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 84636936 is about 9199.8334767538. The cubic root of 84636936 is about 439.0560618037.

The spelling of 84636936 in words is "eighty-four million, six hundred thirty-six thousand, nine hundred thirty-six".