86258816 has 96 divisors (see below), whose sum is σ = 211920300. Its totient is φ = 34750464.

The previous prime is 86258807. The next prime is 86258831. The reversal of 86258816 is 61885268.

It can be written as a sum of positive squares in 2 ways, for example, as 75342400 + 10916416 = 8680^2 + 3304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106220 + ... + 107028.

Almost surely, 2^86258816 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 86258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960150).

86258816 is an abundant number, since it is smaller than the sum of its proper divisors (125661484).

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

86258816 is a wasteful number, since it uses less digits than its factorization.

86258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 835 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 86258816 is about 9287.5624358601. The cubic root of 86258816 is about 441.8428493420.

The spelling of 86258816 in words is "eighty-six million, two hundred fifty-eight thousand, eight hundred sixteen".