846280672 has 96 divisors (see below), whose sum is σ = 1903214880. Its totient is φ = 367902720.

The previous prime is 846280667. The next prime is 846280681. The reversal of 846280672 is 276082648.

846280672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422778 + ... + 424774.

It is an arithmetic number, because the mean of its divisors is an integer number (19825155).

Almost surely, 2^846280672 is an apocalyptic number.

846280672 is a gapful number since it is divisible by the number (82) 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 846280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951607440).

846280672 is an abundant number, since it is smaller than the sum of its proper divisors (1056934208).

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

846280672 is a wasteful number, since it uses less digits than its factorization.

846280672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 846280672 is about 29090.9035954540. The cubic root of 846280672 is about 945.8845694968.

The spelling of 846280672 in words is "eight hundred forty-six million, two hundred eighty thousand, six hundred seventy-two".