857810268 has 162 divisors, whose sum is σ = 2592213624. Its totient is φ = 238478688.

The previous prime is 857810251. The next prime is 857810273. The reversal of 857810268 is 862018758.

857810268 is a `hidden beast` number, since 8 + 578 + 10 + 2 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3261505 + ... + 3261767.

Almost surely, 2^857810268 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 857810268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296106812).

857810268 is an abundant number, since it is smaller than the sum of its proper divisors (1734403356).

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

857810268 is a wasteful number, since it uses less digits than its factorization.

857810268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 857810268 is about 29288.3981808497. The cubic root of 857810268 is about 950.1607366067.

The spelling of 857810268 in words is "eight hundred fifty-seven million, eight hundred ten thousand, two hundred sixty-eight".