86990112 has 192 divisors, whose sum is σ = 282683520. Its totient is φ = 26127360.

The previous prime is 86990093. The next prime is 86990129. The reversal of 86990112 is 21109968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769768 + ... + 769880.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 2^86990112 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 86990112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141341760).

86990112 is an abundant number, since it is smaller than the sum of its proper divisors (195693408).

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

86990112 is a wasteful number, since it uses less digits than its factorization.

86990112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 86990112 is about 9326.8489855899. The cubic root of 86990112 is about 443.0879744840.

The spelling of 86990112 in words is "eighty-six million, nine hundred ninety thousand, one hundred twelve".