86277312 has 280 divisors, whose sum is σ = 298734480. Its totient is φ = 24330240.

The previous prime is 86277311. The next prime is 86277319. The reversal of 86277312 is 21377268.

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

It is not an unprimeable number, because it can be changed into a prime (86277311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 969364 + ... + 969452.

Almost surely, 2^86277312 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 86277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149367240).

86277312 is an abundant number, since it is smaller than the sum of its proper divisors (212457168).

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

86277312 is a wasteful number, since it uses less digits than its factorization.

86277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 86277312 is about 9288.5581227659. The cubic root of 86277312 is about 441.8744277231.

The spelling of 86277312 in words is "eighty-six million, two hundred seventy-seven thousand, three hundred twelve".