86879856 has 160 divisors (see below), whose sum is σ = 279347200. Its totient is φ = 22705920.

The previous prime is 86879851. The next prime is 86879869. The reversal of 86879856 is 65897868.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 86879796 and 86879805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86879851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197685 + ... + 198123.

It is an arithmetic number, because the mean of its divisors is an integer number (1745920).

Almost surely, 2^86879856 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 86879856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139673600).

86879856 is an abundant number, since it is smaller than the sum of its proper divisors (192467344).

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

86879856 is a wasteful number, since it uses less digits than its factorization.

86879856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 86879856 is about 9320.9364336423. The cubic root of 86879856 is about 442.9006974060.

The spelling of 86879856 in words is "eighty-six million, eight hundred seventy-nine thousand, eight hundred fifty-six".