846924980 has 72 divisors (see below), whose sum is σ = 1963702440. Its totient is φ = 306592000.

The previous prime is 846924973. The next prime is 846924983. The reversal of 846924980 is 89429648.

It is a happy number.

846924980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80964004 + 765960976 = 8998^2 + 27676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846924983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650330 + ... + 651630.

It is an arithmetic number, because the mean of its divisors is an integer number (27273645).

Almost surely, 2^846924980 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 846924980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981851220).

846924980 is an abundant number, since it is smaller than the sum of its proper divisors (1116777460).

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

846924980 is a wasteful number, since it uses less digits than its factorization.

846924980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The square root of 846924980 is about 29101.9755343173. The cubic root of 846924980 is about 946.1245554403.

The spelling of 846924980 in words is "eight hundred forty-six million, nine hundred twenty-four thousand, nine hundred eighty".