86257800 has 144 divisors (see below), whose sum is σ = 292408740. Its totient is φ = 22786560.

The previous prime is 86257799. The next prime is 86257811. The reversal of 86257800 is 875268.

86257800 is a `hidden beast` number, since 86 + 2 + 578 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36216324 + 50041476 = 6018^2 + 7074^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311262 + ... + 311538.

Almost surely, 2^86257800 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 86257800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146204370).

86257800 is an abundant number, since it is smaller than the sum of its proper divisors (206150940).

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

86257800 is a wasteful number, since it uses less digits than its factorization.

86257800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 86257800 is about 9287.5077388931. The cubic root of 86257800 is about 441.8411145856.

The spelling of 86257800 in words is "eighty-six million, two hundred fifty-seven thousand, eight hundred".