86277120 has 176 divisors, whose sum is σ = 284745888. Its totient is φ = 22282240.

The previous prime is 86277077. The next prime is 86277137. The reversal of 86277120 is 2177268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629692 + ... + 629828.

Almost surely, 2^86277120 is an apocalyptic number.

86277120 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 86277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142372944).

86277120 is an abundant number, since it is smaller than the sum of its proper divisors (198468768).

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

86277120 is a wasteful number, since it uses less digits than its factorization.

86277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 86277120 is about 9288.5477874639. The cubic root of 86277120 is about 441.8740999430.

The spelling of 86277120 in words is "eighty-six million, two hundred seventy-seven thousand, one hundred twenty".