86314872 has 96 divisors (see below), whose sum is σ = 264297600. Its totient is φ = 23357376.

The previous prime is 86314871. The next prime is 86314919. The reversal of 86314872 is 27841368.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86314872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86314871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20413 + ... + 24275.

It is an arithmetic number, because the mean of its divisors is an integer number (2753100).

Almost surely, 2^86314872 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 86314872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132148800).

86314872 is an abundant number, since it is smaller than the sum of its proper divisors (177982728).

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

86314872 is a wasteful number, since it uses less digits than its factorization.

86314872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3894 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 86314872 is about 9290.5797450966. The cubic root of 86314872 is about 441.9385403513.

The spelling of 86314872 in words is "eighty-six million, three hundred fourteen thousand, eight hundred seventy-two".