86856144 has 80 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 27181440.

The previous prime is 86856127. The next prime is 86856149. The reversal of 86856144 is 44165868.

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 junction number, because it is equal to n+sod(n) for n = 86856096 and 86856105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86856149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119109 + ... + 119835.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^86856144 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 86856144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

86856144 is an abundant number, since it is smaller than the sum of its proper divisors (151461936).

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

86856144 is a wasteful number, since it uses less digits than its factorization.

86856144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 86856144 is about 9319.6643716391. The cubic root of 86856144 is about 442.8604003130.

The spelling of 86856144 in words is "eighty-six million, eight hundred fifty-six thousand, one hundred forty-four".