846633312 has 432 divisors, whose sum is σ = 3122945280. Its totient is φ = 212129280.

The previous prime is 846633253. The next prime is 846633317. The reversal of 846633312 is 213336648.

846633312 is a `hidden beast` number, since 8 + 4 + 6 + 633 + 3 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846633317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27310737 + ... + 27310767.

It is an arithmetic number, because the mean of its divisors is an integer number (7229040).

Almost surely, 2^846633312 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 846633312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561472640).

846633312 is an abundant number, since it is smaller than the sum of its proper divisors (2276311968).

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

846633312 is a wasteful number, since it uses less digits than its factorization.

846633312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 85 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 846633312 is about 29096.9639653349. The cubic root of 846633312 is about 946.0159326982.

The spelling of 846633312 in words is "eight hundred forty-six million, six hundred thirty-three thousand, three hundred twelve".