86318440 has 72 divisors (see below), whose sum is σ = 212183010. Its totient is φ = 31589376.

The previous prime is 86318399. The next prime is 86318467. The reversal of 86318440 is 4481368.

It can be written as a sum of positive squares in 9 ways, for example, as 37625956 + 48692484 = 6134^2 + 6978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86318396 and 86318405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 763824 + ... + 763936.

Almost surely, 2^86318440 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 86318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106091505).

86318440 is an abundant number, since it is smaller than the sum of its proper divisors (125864570).

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

86318440 is a wasteful number, since it uses less digits than its factorization.

86318440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 86318440 is about 9290.7717655747. The cubic root of 86318440 is about 441.9446297421.

It can be divided in two parts, 8631 and 8440, that added together give a palindrome (17071).

The spelling of 86318440 in words is "eighty-six million, three hundred eighteen thousand, four hundred forty".