86016256 has 36 divisors (see below), whose sum is σ = 172458412. Its totient is φ = 42817536.

The previous prime is 86016239. The next prime is 86016257. The reversal of 86016256 is 65261068.

It can be written as a sum of positive squares in 2 ways, for example, as 8294400 + 77721856 = 2880^2 + 8816^2 .

It is not an unprimeable number, because it can be changed into a prime (86016257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70306 + ... + 71518.

Almost surely, 2^86016256 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 86016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86229206).

86016256 is an abundant number, since it is smaller than the sum of its proper divisors (86442156).

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

86016256 is a wasteful number, since it uses less digits than its factorization.

86016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 86016256 is about 9274.4949188622. The cubic root of 86016256 is about 441.4283061450.

The spelling of 86016256 in words is "eighty-six million, sixteen thousand, two hundred fifty-six".