86388444 has 144 divisors (see below), whose sum is σ = 242651136. Its totient is φ = 26827200.

The previous prime is 86388439. The next prime is 86388461. The reversal of 86388444 is 44488368.

86388444 is a `hidden beast` number, since 8 + 638 + 8 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×86388444² = 14925926513482272, which contains 22 as substring.

Its product of digits (589824) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 86388444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416174 + ... + 1416234.

Almost surely, 2^86388444 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 86388444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121325568).

86388444 is an abundant number, since it is smaller than the sum of its proper divisors (156262692).

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

86388444 is a wasteful number, since it uses less digits than its factorization.

86388444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 86388444 is about 9294.5383962841. The cubic root of 86388444 is about 442.0640693895.

The spelling of 86388444 in words is "eighty-six million, three hundred eighty-eight thousand, four hundred forty-four".