86413120 has 84 divisors (see below), whose sum is σ = 213379812. Its totient is φ = 33331200.

The previous prime is 86413099. The next prime is 86413133. The reversal of 86413120 is 2131468.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 41576704 = 6696^2 + 6448^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 307380 + ... + 307660.

Almost surely, 2^86413120 is an apocalyptic number.

86413120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106689906).

86413120 is an abundant number, since it is smaller than the sum of its proper divisors (126966692).

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

86413120 is a wasteful number, since it uses less digits than its factorization.

86413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 86413120 is about 9295.8657477397. The cubic root of 86413120 is about 442.1061557845.

Adding to 86413120 its reverse (2131468), we get a palindrome (88544588).

The spelling of 86413120 in words is "eighty-six million, four hundred thirteen thousand, one hundred twenty".