846804672 has 336 divisors, whose sum is σ = 2956986720. Its totient is φ = 236888064.

The previous prime is 846804667. The next prime is 846804701. The reversal of 846804672 is 276408648.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6180988 + ... + 6181124.

Almost surely, 2^846804672 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 846804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478493360).

846804672 is an abundant number, since it is smaller than the sum of its proper divisors (2110182048).

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

846804672 is a wasteful number, since it uses less digits than its factorization.

846804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 846804672 is about 29099.9084534642. The cubic root of 846804672 is about 946.0797534622.

The spelling of 846804672 in words is "eight hundred forty-six million, eight hundred four thousand, six hundred seventy-two".