86888256 has 112 divisors (see below), whose sum is σ = 283000704. Its totient is φ = 22910976.

The previous prime is 86888237. The next prime is 86888261. The reversal of 86888256 is 65288868.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 86888199 and 86888208.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14986 + ... + 19958.

It is an arithmetic number, because the mean of its divisors is an integer number (2526792).

Almost surely, 2^86888256 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 86888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141500352).

86888256 is an abundant number, since it is smaller than the sum of its proper divisors (196112448).

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

86888256 is a wasteful number, since it uses less digits than its factorization.

86888256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4998 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 86888256 is about 9321.3870212539. The cubic root of 86888256 is about 442.9149709332.

The spelling of 86888256 in words is "eighty-six million, eight hundred eighty-eight thousand, two hundred fifty-six".