857024064 has 252 divisors, whose sum is σ = 2764573084. Its totient is φ = 262020096.

The previous prime is 857024041. The next prime is 857024093. The reversal of 857024064 is 460420758.

857024064 is a `hidden beast` number, since 8 + 570 + 24 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185177664 + 671846400 = 13608^2 + 25920^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5458674 + ... + 5458830.

Almost surely, 2^857024064 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 857024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382286542).

857024064 is an abundant number, since it is smaller than the sum of its proper divisors (1907549020).

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

857024064 is an equidigital number, since it uses as much as digits as its factorization.

857024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 857024064 is about 29274.9733390143. The cubic root of 857024064 is about 949.8703660602.

The spelling of 857024064 in words is "eight hundred fifty-seven million, twenty-four thousand, sixty-four".