846648 has 48 divisors (see below), whose sum is σ = 2503800. Its totient is φ = 256320.

The previous prime is 846647. The next prime is 846661.

846648 is a `hidden beast` number, since 8 + 4 + 6 + 648 = 666.

846648 is nontrivially palindromic in base 10.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 258 + ... + 1326.

2⁸⁴⁶⁶⁴⁸ is an apocalyptic number.

846648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251900).

846648 is an abundant number, since it is smaller than the sum of its proper divisors (1657152).

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

846648 is a wasteful number, since it uses less digits than its factorization.

846648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1085 counting only the distinct ones).

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

The square root of 846648 is about 920.1347727371. The cubic root of 846648 is about 94.6021403387.

It can be divided in two parts, 8 and 46648, that added together give a 6-th power (46656 = 6⁶).

The spelling of 846648 in words is "eight hundred forty-six thousand, six hundred forty-eight".