86558016 has 112 divisors (see below), whose sum is σ = 253252224. Its totient is φ = 25952256.

The previous prime is 86557997. The next prime is 86558023. The reversal of 86558016 is 61085568.

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, 74496 + ... + 75648.

Almost surely, 2^86558016 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 86558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126626112).

86558016 is an abundant number, since it is smaller than the sum of its proper divisors (166694208).

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

86558016 is a wasteful number, since it uses less digits than its factorization.

86558016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 86558016 is about 9303.6560555515. The cubic root of 86558016 is about 442.3531230749.

The spelling of 86558016 in words is "eighty-six million, five hundred fifty-eight thousand, sixteen".