86890128 has 80 divisors (see below), whose sum is σ = 255983616. Its totient is φ = 25159680.

The previous prime is 86890109. The next prime is 86890129. The reversal of 86890128 is 82109868.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86890128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86890129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6513 + ... + 14703.

Almost surely, 2^86890128 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 86890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127991808).

86890128 is an abundant number, since it is smaller than the sum of its proper divisors (169093488).

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

86890128 is a wasteful number, since it uses less digits than its factorization.

86890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 86890128 is about 9321.4874349537. The cubic root of 86890128 is about 442.9181517654.

The spelling of 86890128 in words is "eighty-six million, eight hundred ninety thousand, one hundred twenty-eight".