86181288 has 96 divisors (see below), whose sum is σ = 230297760. Its totient is φ = 26853120.

The previous prime is 86181269. The next prime is 86181317. The reversal of 86181288 is 88218168.

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

It is a congruent number.

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, 1412778 + ... + 1412838.

It is an arithmetic number, because the mean of its divisors is an integer number (2398935).

Almost surely, 2^86181288 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 86181288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115148880).

86181288 is an abundant number, since it is smaller than the sum of its proper divisors (144116472).

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

86181288 is a wasteful number, since it uses less digits than its factorization.

86181288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its digits is 49152, while the sum is 42.

The square root of 86181288 is about 9283.3877437065. The cubic root of 86181288 is about 441.7104359772.

The spelling of 86181288 in words is "eighty-six million, one hundred eighty-one thousand, two hundred eighty-eight".