84855636 has 72 divisors (see below), whose sum is σ = 230938344. Its totient is φ = 26173440.

The previous prime is 84855607. The next prime is 84855647. The reversal of 84855636 is 63655848.

84855636 is a `hidden beast` number, since 8 + 4 + 8 + 5 + 5 + 636 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16892100 + 67963536 = 4110^2 + 8244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84855591 and 84855600.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36196 + ... + 38468.

It is an arithmetic number, because the mean of its divisors is an integer number (3207477).

Almost surely, 2^84855636 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 84855636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115469172).

84855636 is an abundant number, since it is smaller than the sum of its proper divisors (146082708).

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

84855636 is a wasteful number, since it uses less digits than its factorization.

84855636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2356 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 84855636 is about 9211.7118930197. The cubic root of 84855636 is about 439.4339069774.

It can be divided in two parts, 8485563 and 6, that added together give a square (8485569 = 2913²).

The spelling of 84855636 in words is "eighty-four million, eight hundred fifty-five thousand, six hundred thirty-six".