846768 has 80 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 244992.

The previous prime is 846757. The next prime is 846779. The reversal of 846768 is 867648.

It is an interprime number because it is at equal distance from previous prime (846757) and next prime (846779).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14323 + ... + 14381.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁸⁴⁶⁷⁶⁸ 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 846768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

846768 is an abundant number, since it is smaller than the sum of its proper divisors (1653072).

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

846768 is a wasteful number, since it uses less digits than its factorization.

846768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 846768 is about 920.1999782656. The cubic root of 846768 is about 94.6066096185.

846768 divided by its sum of digits (39) gives a palindrome (21712).

The spelling of 846768 in words is "eight hundred forty-six thousand, seven hundred sixty-eight".