86016090 has 64 divisors (see below), whose sum is σ = 228116736. Its totient is φ = 20646912.

The previous prime is 86016079. The next prime is 86016109. The reversal of 86016090 is 9061068.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8064 + ... + 15396.

It is an arithmetic number, because the mean of its divisors is an integer number (3564324).

Almost surely, 2^86016090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86016090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114058368).

86016090 is an abundant number, since it is smaller than the sum of its proper divisors (142100646).

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

86016090 is a wasteful number, since it uses less digits than its factorization.

86016090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 86016090 is about 9274.4859695834. The cubic root of 86016090 is about 441.4280221787.

The spelling of 86016090 in words is "eighty-six million, sixteen thousand, ninety".