849864960 has 360 divisors, whose sum is σ = 3478364736. Its totient is φ = 194088960.

The previous prime is 849864931. The next prime is 849864979. The reversal of 849864960 is 69468948.

849864960 is a `hidden beast` number, since 8 + 498 + 64 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 849864897 and 849864906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725175 + ... + 726345.

Almost surely, 2^849864960 is an apocalyptic number.

849864960 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 849864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739182368).

849864960 is an abundant number, since it is smaller than the sum of its proper divisors (2628499776).

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

849864960 is a wasteful number, since it uses less digits than its factorization.

849864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 849864960 is about 29152.4434653427. The cubic root of 849864960 is about 947.2180701751.

The spelling of 849864960 in words is "eight hundred forty-nine million, eight hundred sixty-four thousand, nine hundred sixty".