846864 has 30 divisors (see below), whose sum is σ = 2370446. Its totient is φ = 282240.

The previous prime is 846851. The next prime is 846869. The reversal of 846864 is 468648.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 36864 = 900^2 + 192^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 846864.

It is not an unprimeable number, because it can be changed into a prime (846869) by changing a digit.

846864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2797 + ... + 3084.

2⁸⁴⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

846864 is an abundant number, since it is smaller than the sum of its proper divisors (1523582).

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

846864 is a wasteful number, since it uses less digits than its factorization.

846864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5886 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 846864 is about 920.2521393618. The cubic root of 846864 is about 94.6101847384.

Subtracting from 846864 its product of digits (36864), we obtain a 4-th power (810000 = 30⁴).

The spelling of 846864 in words is "eight hundred forty-six thousand, eight hundred sixty-four".