86147568 has 120 divisors (see below), whose sum is σ = 275013648. Its totient is φ = 24938496.

The previous prime is 86147563. The next prime is 86147587. The reversal of 86147568 is 86574168.

It is a happy number.

86147568 is a `hidden beast` number, since 86 + 1 + 4 + 7 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86147561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30471 + ... + 33177.

Almost surely, 2^86147568 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 86147568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137506824).

86147568 is an abundant number, since it is smaller than the sum of its proper divisors (188866080).

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

86147568 is a wasteful number, since it uses less digits than its factorization.

86147568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2742 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 86147568 is about 9281.5714186769. The cubic root of 86147568 is about 441.6528193752.

The spelling of 86147568 in words is "eighty-six million, one hundred forty-seven thousand, five hundred sixty-eight".