849796560 has 120 divisors (see below), whose sum is σ = 2859159264. Its totient is φ = 226195200.

The previous prime is 849796553. The next prime is 849796589. The reversal of 849796560 is 65697948.

849796560 is a `hidden beast` number, since 8 + 4 + 9 + 79 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 849796497 and 849796506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756159 + ... + 757281.

Almost surely, 2^849796560 is an apocalyptic number.

849796560 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 849796560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429579632).

849796560 is an abundant number, since it is smaller than the sum of its proper divisors (2009362704).

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

849796560 is a wasteful number, since it uses less digits than its factorization.

849796560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 849796560 is about 29151.2702982220. The cubic root of 849796560 is about 947.1926577244.

The spelling of 849796560 in words is "eight hundred forty-nine million, seven hundred ninety-six thousand, five hundred sixty".