849024072 has 128 divisors (see below), whose sum is σ = 2559513600. Its totient is φ = 259213824.

The previous prime is 849024061. The next prime is 849024073. The reversal of 849024072 is 270420948.

It is a super-2 number, since 2×849024072² = 1441683749670922368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (849024073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383593 + ... + 385799.

It is an arithmetic number, because the mean of its divisors is an integer number (19996200).

Almost surely, 2^849024072 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 849024072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279756800).

849024072 is an abundant number, since it is smaller than the sum of its proper divisors (1710489528).

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

849024072 is a wasteful number, since it uses less digits than its factorization.

849024072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 849024072 is about 29138.0176401896. The cubic root of 849024072 is about 946.9055628210.

The spelling of 849024072 in words is "eight hundred forty-nine million, twenty-four thousand, seventy-two".