86075856 has 60 divisors (see below), whose sum is σ = 244314720. Its totient is φ = 28284480.

The previous prime is 86075837. The next prime is 86075861. The reversal of 86075856 is 65857068.

86075856 is a `hidden beast` number, since 8 + 60 + 7 + 585 + 6 = 666.

It is a super-2 number, since 2×86075856² = 14818105972265472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6015 + ... + 14433.

It is an arithmetic number, because the mean of its divisors is an integer number (4071912).

Almost surely, 2^86075856 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 86075856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122157360).

86075856 is an abundant number, since it is smaller than the sum of its proper divisors (158238864).

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

86075856 is a wasteful number, since it uses less digits than its factorization.

86075856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 86075856 is about 9277.7074754489. The cubic root of 86075856 is about 441.5302366953.

The spelling of 86075856 in words is "eighty-six million, seventy-five thousand, eight hundred fifty-six".