846894720 has 256 divisors, whose sum is σ = 3138727680. Its totient is φ = 190218240.

The previous prime is 846894691. The next prime is 846894721. The reversal of 846894720 is 27498648.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 846894720.

It is not an unprimeable number, because it can be changed into a prime (846894721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 819324 + ... + 820356.

It is an arithmetic number, because the mean of its divisors is an integer number (12260655).

Almost surely, 2^846894720 is an apocalyptic number.

846894720 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 846894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569363840).

846894720 is an abundant number, since it is smaller than the sum of its proper divisors (2291832960).

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

846894720 is a wasteful number, since it uses less digits than its factorization.

846894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 846894720 is about 29101.4556336964. The cubic root of 846894720 is about 946.1132871970.

The spelling of 846894720 in words is "eight hundred forty-six million, eight hundred ninety-four thousand, seven hundred twenty".