86144256 has 216 divisors, whose sum is σ = 282726080. Its totient is φ = 25850880.

The previous prime is 86144243. The next prime is 86144263. The reversal of 86144256 is 65244168.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86144256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836301 + ... + 836403.

Almost surely, 2^86144256 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 86144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141363040).

86144256 is an abundant number, since it is smaller than the sum of its proper divisors (196581824).

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

86144256 is a wasteful number, since it uses less digits than its factorization.

86144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 86144256 is about 9281.3929988984. The cubic root of 86144256 is about 441.6471594248.

The spelling of 86144256 in words is "eighty-six million, one hundred forty-four thousand, two hundred fifty-six".