846900 has 54 divisors (see below), whose sum is σ = 2657382. Its totient is φ = 225600.

The previous prime is 846877. The next prime is 846913. The reversal of 846900 is 9648.

846900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 79524 + 767376 = 282^2 + 876^2 .

It is a super-2 number, since 2×846900² = 1434479220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

846900 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 17 ways as a sum of consecutive naturals, for example, 430 + ... + 1370.

2⁸⁴⁶⁹⁰⁰ 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 846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328691).

846900 is an abundant number, since it is smaller than the sum of its proper divisors (1810482).

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

846900 is a wasteful number, since it uses less digits than its factorization.

846900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 846900 is about 920.2716990107. The cubic root of 846900 is about 94.6115253387.

The spelling of 846900 in words is "eight hundred forty-six thousand, nine hundred".