846846864 has 120 divisors (see below), whose sum is σ = 2469987000. Its totient is φ = 270520320.

The previous prime is 846846851. The next prime is 846846901. The reversal of 846846864 is 468648648.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 846810000 = 192^2 + 29100^2 .

It is a super-2 number, since 2×846846864² = 1434299222133268992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 846846864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621544 + ... + 622904.

It is an arithmetic number, because the mean of its divisors is an integer number (20583225).

Almost surely, 2^846846864 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 846846864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234993500).

846846864 is an abundant number, since it is smaller than the sum of its proper divisors (1623140136).

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

846846864 is a wasteful number, since it uses less digits than its factorization.

846846864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 846846864 is about 29100.6333951686. The cubic root of 846846864 is about 946.0954659932.

The spelling of 846846864 in words is "eight hundred forty-six million, eight hundred forty-six thousand, eight hundred sixty-four".