849825072 has 120 divisors (see below), whose sum is σ = 2476032000. Its totient is φ = 271797120.

The previous prime is 849825071. The next prime is 849825073. The reversal of 849825072 is 270528948.

It is an interprime number because it is at equal distance from previous prime (849825071) and next prime (849825073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849825071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566179 + ... + 567677.

It is an arithmetic number, because the mean of its divisors is an integer number (20633600).

Almost surely, 2^849825072 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 849825072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238016000).

849825072 is an abundant number, since it is smaller than the sum of its proper divisors (1626206928).

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

849825072 is a wasteful number, since it uses less digits than its factorization.

849825072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 849825072 is about 29151.7593294127. The cubic root of 849825072 is about 947.2032508696.

The spelling of 849825072 in words is "eight hundred forty-nine million, eight hundred twenty-five thousand, seventy-two".