86151168 has 208 divisors, whose sum is σ = 275217600. Its totient is φ = 26542080.

The previous prime is 86151137. The next prime is 86151181. The reversal of 86151168 is 86115168.

86151168 is a `hidden beast` number, since 86 + 1 + 511 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101228 + ... + 2101268.

Almost surely, 2^86151168 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 86151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137608800).

86151168 is an abundant number, since it is smaller than the sum of its proper divisors (189066432).

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

86151168 is a wasteful number, since it uses less digits than its factorization.

86151168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 86151168 is about 9281.7653493288. The cubic root of 86151168 is about 441.6589713307.

The spelling of 86151168 in words is "eighty-six million, one hundred fifty-one thousand, one hundred sixty-eight".