849346560 has 220 divisors, whose sum is σ = 3045063978. Its totient is φ = 226492416.

The previous prime is 849346559. The next prime is 849346579. The reversal of 849346560 is 65643948.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (2!)¹¹.

849346560 is a `hidden beast` number, since 8 + 49 + 3 + 46 + 560 = 666.

It can be written as a sum of positive squares in only one way, i.e., 764411904 + 84934656 = 27648^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 169869310 + ... + 169869314.

Almost surely, 2^849346560 is an apocalyptic number.

849346560 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 849346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522531989).

849346560 is an abundant number, since it is smaller than the sum of its proper divisors (2195717418).

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

849346560 is an frugal number, since it uses more digits than its factorization.

849346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 849346560 is about 29143.5509161118. The cubic root of 849346560 is about 947.0254365429.

The spelling of 849346560 in words is "eight hundred forty-nine million, three hundred forty-six thousand, five hundred sixty".