86139936 has 120 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 28397952.

The previous prime is 86139929. The next prime is 86139943. The reversal of 86139936 is 63993168.

It is an interprime number because it is at equal distance from previous prime (86139929) and next prime (86139943).

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 = 86139891 and 86139900.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 432765 + ... + 432963.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^86139936 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 86139936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

86139936 is an abundant number, since it is smaller than the sum of its proper divisors (169992864).

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

86139936 is a wasteful number, since it uses less digits than its factorization.

86139936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 86139936 is about 9281.1602722935. The cubic root of 86139936 is about 441.6397766628.

The spelling of 86139936 in words is "eighty-six million, one hundred thirty-nine thousand, nine hundred thirty-six".