86364288 has 96 divisors (see below), whose sum is σ = 252801900. Its totient is φ = 28293120.

The previous prime is 86364281. The next prime is 86364293. The reversal of 86364288 is 88246368.

It is a happy number.

86364288 is a `hidden beast` number, since 8 + 6 + 364 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86266944 + 97344 = 9288^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (86364281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69658 + ... + 70886.

Almost surely, 2^86364288 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 86364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126400950).

86364288 is an abundant number, since it is smaller than the sum of its proper divisors (166437612).

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

86364288 is a wasteful number, since it uses less digits than its factorization.

86364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1295 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86364288 is about 9293.2388326137. The cubic root of 86364288 is about 442.0228621222.

The spelling of 86364288 in words is "eighty-six million, three hundred sixty-four thousand, two hundred eighty-eight".