846577216 has 21 divisors (see below), whose sum is σ = 1680388689. Its totient is φ = 423172224.

The previous prime is 846577213. The next prime is 846577217. The reversal of 846577216 is 612775648.

It is a happy number.

The square root of 846577216 is 29096.

It is a perfect power (a square), and thus also a powerful number.

846577216 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 only one way, i.e., 22657600 + 823919616 = 4760^2 + 28704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (846577213) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 230950 + ... + 234586.

It is an arithmetic number, because the mean of its divisors is an integer number (80018509).

Almost surely, 2^846577216 is an apocalyptic number.

846577216 is the 29096-th square number.

It is an amenable number.

846577216 is a deficient number, since it is larger than the sum of its proper divisors (833811473).

846577216 is an frugal number, since it uses more digits than its factorization.

846577216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 3639 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The cubic root of 846577216 is about 945.9950386145.

The spelling of 846577216 in words is "eight hundred forty-six million, five hundred seventy-seven thousand, two hundred sixteen".