86618064 has 80 divisors (see below), whose sum is σ = 243095552. Its totient is φ = 26417664.

The previous prime is 86618047. The next prime is 86618071. The reversal of 86618064 is 46081668.

It is a super-2 number, since 2×86618064² = 15005378022216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 78702 + ... + 79794.

Almost surely, 2^86618064 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 86618064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121547776).

86618064 is an abundant number, since it is smaller than the sum of its proper divisors (156477488).

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

86618064 is a wasteful number, since it uses less digits than its factorization.

86618064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86618064 is about 9306.8826144956. The cubic root of 86618064 is about 442.4553908237.

The spelling of 86618064 in words is "eighty-six million, six hundred eighteen thousand, sixty-four".