849599820 has 192 divisors, whose sum is σ = 2946585600. Its totient is φ = 201968640.

The previous prime is 849599819. The next prime is 849599851. The reversal of 849599820 is 28995948.

849599820 is a `hidden beast` number, since 8 + 49 + 599 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171985 + ... + 176855.

It is an arithmetic number, because the mean of its divisors is an integer number (15346800).

Almost surely, 2^849599820 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 849599820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473292800).

849599820 is an abundant number, since it is smaller than the sum of its proper divisors (2096985780).

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

849599820 is a wasteful number, since it uses less digits than its factorization.

849599820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 849599820 is about 29147.8956358774. The cubic root of 849599820 is about 947.1195558884.

The spelling of 849599820 in words is "eight hundred forty-nine million, five hundred ninety-nine thousand, eight hundred twenty".