849939264 has 112 divisors (see below), whose sum is σ = 2510576640. Its totient is φ = 281963520.

The previous prime is 849939241. The next prime is 849939271. The reversal of 849939264 is 462939948.

849939264 is a `hidden beast` number, since 8 + 499 + 3 + 92 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 849939264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401569 + ... + 403679.

Almost surely, 2^849939264 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 849939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255288320).

849939264 is an abundant number, since it is smaller than the sum of its proper divisors (1660637376).

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

849939264 is a wasteful number, since it uses less digits than its factorization.

849939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2349 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 849939264 is about 29153.7178418122. The cubic root of 849939264 is about 947.2456745765.

The spelling of 849939264 in words is "eight hundred forty-nine million, nine hundred thirty-nine thousand, two hundred sixty-four".