86127888 has 120 divisors (see below), whose sum is σ = 282437280. Its totient is φ = 22364160.

The previous prime is 86127869. The next prime is 86127901. The reversal of 86127888 is 88872168.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24208 + ... + 27536.

It is an arithmetic number, because the mean of its divisors is an integer number (2353644).

Almost surely, 2^86127888 is an apocalyptic number.

86127888 is a gapful number since it is divisible by the number (88) 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 86127888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141218640).

86127888 is an abundant number, since it is smaller than the sum of its proper divisors (196309392).

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

86127888 is a wasteful number, since it uses less digits than its factorization.

86127888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3352 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 86127888 is about 9280.5111928169. The cubic root of 86127888 is about 441.6191856556.

The spelling of 86127888 in words is "eighty-six million, one hundred twenty-seven thousand, eight hundred eighty-eight".