86811912 has 160 divisors (see below), whose sum is σ = 279655200. Its totient is φ = 24883200.

The previous prime is 86811871. The next prime is 86811917. The reversal of 86811912 is 21911868.

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 not an unprimeable number, because it can be changed into a prime (86811917) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135112 + ... + 135752.

It is an arithmetic number, because the mean of its divisors is an integer number (1747845).

Almost surely, 2^86811912 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 86811912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139827600).

86811912 is an abundant number, since it is smaller than the sum of its proper divisors (192843288).

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

86811912 is a wasteful number, since it uses less digits than its factorization.

86811912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 676 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 86811912 is about 9317.2910226095. The cubic root of 86811912 is about 442.7852111306.

The spelling of 86811912 in words is "eighty-six million, eight hundred eleven thousand, nine hundred twelve".