86115312 has 160 divisors (see below), whose sum is σ = 263554560. Its totient is φ = 27200448.

The previous prime is 86115299. The next prime is 86115329. The reversal of 86115312 is 21351168.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 804763 + ... + 804869.

It is an arithmetic number, because the mean of its divisors is an integer number (1647216).

Almost surely, 2^86115312 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 86115312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131777280).

86115312 is an abundant number, since it is smaller than the sum of its proper divisors (177439248).

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

86115312 is a wasteful number, since it uses less digits than its factorization.

86115312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 86115312 is about 9279.8336191981. The cubic root of 86115312 is about 441.5976902053.

The spelling of 86115312 in words is "eighty-six million, one hundred fifteen thousand, three hundred twelve".