86010120 has 256 divisors, whose sum is σ = 339148800. Its totient is φ = 18973440.

The previous prime is 86010109. The next prime is 86010139. The reversal of 86010120 is 2101068.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 86010093 and 86010102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234177 + ... + 234543.

It is an arithmetic number, because the mean of its divisors is an integer number (1324800).

Almost surely, 2^86010120 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 86010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169574400).

86010120 is an abundant number, since it is smaller than the sum of its proper divisors (253138680).

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

86010120 is a wasteful number, since it uses less digits than its factorization.

86010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 86010120 is about 9274.1641132773. The cubic root of 86010120 is about 441.4178094140.

Adding to 86010120 its reverse (2101068), we get a palindrome (88111188).

The spelling of 86010120 in words is "eighty-six million, ten thousand, one hundred twenty".