846080 has 36 divisors (see below), whose sum is σ = 2029692. Its totient is φ = 337920.

The previous prime is 846067. The next prime is 846113. The reversal of 846080 is 80648.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 350464 = 704^2 + 592^2 .

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950 + ... + 1610.

2⁸⁴⁶⁰⁸⁰ is an apocalyptic number.

846080 is a gapful number since it is divisible by the number (80) 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 846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014846).

846080 is an abundant number, since it is smaller than the sum of its proper divisors (1183612).

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

846080 is an equidigital number, since it uses as much as digits as its factorization.

846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 846080 is about 919.8260705155. The cubic root of 846080 is about 94.5809800152.

The spelling of 846080 in words is "eight hundred forty-six thousand, eighty".