849124224 has 288 divisors, whose sum is σ = 2765107800. Its totient is φ = 248555520.

The previous prime is 849124223. The next prime is 849124229. The reversal of 849124224 is 422421948.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849124223) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 14391907 + ... + 14391965.

Almost surely, 2^849124224 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 849124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382553900).

849124224 is an abundant number, since it is smaller than the sum of its proper divisors (1915983576).

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

849124224 is a wasteful number, since it uses less digits than its factorization.

849124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 108 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 849124224 is about 29139.7361690184. The cubic root of 849124224 is about 946.9427941003.

The spelling of 849124224 in words is "eight hundred forty-nine million, one hundred twenty-four thousand, two hundred twenty-four".