86629256 has 48 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 36923040.

The previous prime is 86629253. The next prime is 86629261. The reversal of 86629256 is 65292668.

It is a super-2 number, since 2×86629256² = 15009255990227072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86629253) 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 11 ways as a sum of consecutive naturals, for example, 86921 + ... + 87911.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^86629256 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 86629256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

86629256 is an abundant number, since it is smaller than the sum of its proper divisors (103358584).

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

86629256 is a wasteful number, since it uses less digits than its factorization.

86629256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 86629256 is about 9307.4838705205. The cubic root of 86629256 is about 442.4744466928.

The spelling of 86629256 in words is "eighty-six million, six hundred twenty-nine thousand, two hundred fifty-six".