86587056 has 100 divisors (see below), whose sum is σ = 254407824. Its totient is φ = 28425600.

The previous prime is 86587037. The next prime is 86587057. The reversal of 86587056 is 65078568.

It is not an unprimeable number, because it can be changed into a prime (86587057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91546 + ... + 92486.

Almost surely, 2^86587056 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 86587056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127203912).

86587056 is an abundant number, since it is smaller than the sum of its proper divisors (167820768).

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

86587056 is a wasteful number, since it uses less digits than its factorization.

86587056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 86587056 is about 9305.2166014553. The cubic root of 86587056 is about 442.4025870027.

The spelling of 86587056 in words is "eighty-six million, five hundred eighty-seven thousand, fifty-six".