86502144 has 72 divisors (see below), whose sum is σ = 231969472. Its totient is φ = 28615680.

The previous prime is 86502139. The next prime is 86502161. The reversal of 86502144 is 44120568.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124839 + ... + 125529.

Almost surely, 2^86502144 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 86502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115984736).

86502144 is an abundant number, since it is smaller than the sum of its proper divisors (145467328).

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

86502144 is a wasteful number, since it uses less digits than its factorization.

86502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 86502144 is about 9300.6528803090. The cubic root of 86502144 is about 442.2579249850.

The spelling of 86502144 in words is "eighty-six million, five hundred two thousand, one hundred forty-four".