86011584 has 56 divisors (see below), whose sum is σ = 228404928. Its totient is φ = 28565760.

The previous prime is 86011561. The next prime is 86011603. The reversal of 86011584 is 48511068.

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, 65979 + ... + 67269.

Almost surely, 2^86011584 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 86011584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114202464).

86011584 is an abundant number, since it is smaller than the sum of its proper divisors (142393344).

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

86011584 is a wasteful number, since it uses less digits than its factorization.

86011584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 86011584 is about 9274.2430418876. The cubic root of 86011584 is about 441.4203138946.

The spelling of 86011584 in words is "eighty-six million, eleven thousand, five hundred eighty-four".