846048 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 241536.

The previous prime is 846037. The next prime is 846059. The reversal of 846048 is 840648.

It is an interprime number because it is at equal distance from previous prime (846037) and next prime (846059).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

846048 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 7 ways as a sum of consecutive naturals, for example, 43 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁸⁴⁶⁰⁴⁸ 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 846048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

846048 is an abundant number, since it is smaller than the sum of its proper divisors (1694112).

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

846048 is a wasteful number, since it uses less digits than its factorization.

846048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 846048 is about 919.8086757582. The cubic root of 846048 is about 94.5797876026.

It can be divided in two parts, 8 and 46048, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 846048 in words is "eight hundred forty-six thousand, forty-eight".