86151456 has 36 divisors (see below), whose sum is σ = 244994022. Its totient is φ = 28717056.

The previous prime is 86151451. The next prime is 86151463. The reversal of 86151456 is 65415168.

It can be written as a sum of positive squares in only one way, i.e., 79495056 + 6656400 = 8916^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86151456.

It is not an unprimeable number, because it can be changed into a prime (86151451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149281 + ... + 149856.

Almost surely, 2^86151456 is an apocalyptic number.

It is an amenable number.

86151456 is an abundant number, since it is smaller than the sum of its proper divisors (158842566).

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

86151456 is a wasteful number, since it uses less digits than its factorization.

86151456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299153 (or 299142 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 86151456 is about 9281.7808636059. The cubic root of 86151456 is about 441.6594634797.

The spelling of 86151456 in words is "eighty-six million, one hundred fifty-one thousand, four hundred fifty-six".