849072840 has 256 divisors, whose sum is σ = 3251128320. Its totient is φ = 172247040.

The previous prime is 849072839. The next prime is 849072841. The reversal of 849072840 is 48270948.

849072840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (849072839) and next prime (849072841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 849072792 and 849072801.

It is not an unprimeable number, because it can be changed into a prime (849072841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396252 + ... + 398388.

It is an arithmetic number, because the mean of its divisors is an integer number (12699720).

Almost surely, 2^849072840 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 849072840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625564160).

849072840 is an abundant number, since it is smaller than the sum of its proper divisors (2402055480).

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

849072840 is a wasteful number, since it uses less digits than its factorization.

849072840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 849072840 is about 29138.8544730228. The cubic root of 849072840 is about 946.9236925803.

The spelling of 849072840 in words is "eight hundred forty-nine million, seventy-two thousand, eight hundred forty".