857947968 has 84 divisors (see below), whose sum is σ = 2463998628. Its totient is φ = 285419520.

The previous prime is 857947963. The next prime is 857947973. The reversal of 857947968 is 869749758.

It is an interprime number because it is at equal distance from previous prime (857947963) and next prime (857947973).

It can be written as a sum of positive squares in 2 ways, for example, as 352237824 + 505710144 = 18768^2 + 22488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857947963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374988 + ... + 377268.

It is an arithmetic number, because the mean of its divisors is an integer number (29333317).

Almost surely, 2^857947968 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 857947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231999314).

857947968 is an abundant number, since it is smaller than the sum of its proper divisors (1606050660).

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

857947968 is a wasteful number, since it uses less digits than its factorization.

857947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2939 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 857947968 is about 29290.7488466922. The cubic root of 857947968 is about 950.2115754064.

The spelling of 857947968 in words is "eight hundred fifty-seven million, nine hundred forty-seven thousand, nine hundred sixty-eight".