846320832 has 448 divisors, whose sum is σ = 3063930880. Its totient is φ = 223948800.

The previous prime is 846320807. The next prime is 846320851. The reversal of 846320832 is 238023648.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13874082 + ... + 13874142.

Almost surely, 2^846320832 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 846320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531965440).

846320832 is an abundant number, since it is smaller than the sum of its proper divisors (2217610048).

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

846320832 is a wasteful number, since it uses less digits than its factorization.

846320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 846320832 is about 29091.5938373957. The cubic root of 846320832 is about 945.8995314847.

The spelling of 846320832 in words is "eight hundred forty-six million, three hundred twenty thousand, eight hundred thirty-two".