86890644 has 120 divisors (see below), whose sum is σ = 241334016. Its totient is φ = 27216000.

The previous prime is 86890631. The next prime is 86890649. The reversal of 86890644 is 44609868.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86890644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86890649) 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 39 ways as a sum of consecutive naturals, for example, 411699 + ... + 411909.

Almost surely, 2^86890644 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 86890644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120667008).

86890644 is an abundant number, since it is smaller than the sum of its proper divisors (154443372).

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

86890644 is a wasteful number, since it uses less digits than its factorization.

86890644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86890644 is about 9321.5151128988. The cubic root of 86890644 is about 442.9190285252.

The spelling of 86890644 in words is "eighty-six million, eight hundred ninety thousand, six hundred forty-four".