83861136 has 160 divisors (see below), whose sum is σ = 268732800. Its totient is φ = 24883200.

The previous prime is 83861111. The next prime is 83861147. The reversal of 83861136 is 63116838.

83861136 is a `hidden beast` number, since 8 + 3 + 8 + 611 + 36 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 83861136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139236 + ... + 139836.

It is an arithmetic number, because the mean of its divisors is an integer number (1679580).

Almost surely, 2^83861136 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 83861136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134366400).

83861136 is an abundant number, since it is smaller than the sum of its proper divisors (184871664).

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

83861136 is a wasteful number, since it uses less digits than its factorization.

83861136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83861136 is about 9157.5726041348. The cubic root of 83861136 is about 437.7104485214.

The spelling of 83861136 in words is "eighty-three million, eight hundred sixty-one thousand, one hundred thirty-six".