86315840 has 56 divisors (see below), whose sum is σ = 221361000. Its totient is φ = 31868928.

The previous prime is 86315839. The next prime is 86315843. The reversal of 86315840 is 4851368.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 83466496 = 1688^2 + 9136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86315840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86315843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6215 + ... + 14534.

It is an arithmetic number, because the mean of its divisors is an integer number (3952875).

Almost surely, 2^86315840 is an apocalyptic number.

86315840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86315840 is an abundant number, since it is smaller than the sum of its proper divisors (135045160).

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

86315840 is a wasteful number, since it uses less digits than its factorization.

86315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20779 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 86315840 is about 9290.6318407307. The cubic root of 86315840 is about 441.9401924223.

The spelling of 86315840 in words is "eighty-six million, three hundred fifteen thousand, eight hundred forty".