846888 has 48 divisors (see below), whose sum is σ = 2454240. Its totient is φ = 238560.

The previous prime is 846877. The next prime is 846913. The reversal of 846888 is 888648.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 846888.

It is an unprimeable number.

846888 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 11 ways as a sum of consecutive naturals, for example, 11893 + ... + 11963.

It is an arithmetic number, because the mean of its divisors is an integer number (51130).

2⁸⁴⁶⁸⁸⁸ 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 846888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227120).

846888 is an abundant number, since it is smaller than the sum of its proper divisors (1607352).

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

846888 is a wasteful number, since it uses less digits than its factorization.

846888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 83 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 846888 is about 920.2651791739. The cubic root of 846888 is about 94.6110784762.

Multiplying 846888 by its sum of digits (42), we get a square (35569296 = 5964²).

846888 divided by its sum of digits (42) gives a square (20164 = 142²).

The spelling of 846888 in words is "eight hundred forty-six thousand, eight hundred eighty-eight".