856107000 has 384 divisors, whose sum is σ = 3364208640. Its totient is φ = 192326400.

The previous prime is 856106987. The next prime is 856107011. The reversal of 856107000 is 701658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6740937 + ... + 6741063.

It is an arithmetic number, because the mean of its divisors is an integer number (8760960).

Almost surely, 2^856107000 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 856107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682104320).

856107000 is an abundant number, since it is smaller than the sum of its proper divisors (2508101640).

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

856107000 is a wasteful number, since it uses less digits than its factorization.

856107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 856107000 is about 29259.3062118704. The cubic root of 856107000 is about 949.5314402180.

Adding to 856107000 its reverse (701658), we get a palindrome (856808658).

The spelling of 856107000 in words is "eight hundred fifty-six million, one hundred seven thousand".