86640288 has 96 divisors (see below), whose sum is σ = 268369920. Its totient is φ = 23950080.

The previous prime is 86640277. The next prime is 86640311. The reversal of 86640288 is 88204668.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 18753 + ... + 22911.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2^86640288 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 86640288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134184960).

86640288 is an abundant number, since it is smaller than the sum of its proper divisors (181729632).

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

86640288 is a wasteful number, since it uses less digits than its factorization.

86640288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 86640288 is about 9308.0764930248. The cubic root of 86640288 is about 442.4932285344.

The spelling of 86640288 in words is "eighty-six million, six hundred forty thousand, two hundred eighty-eight".