849018240 has 256 divisors, whose sum is σ = 3436992000. Its totient is φ = 194033664.

The previous prime is 849018229. The next prime is 849018257. The reversal of 849018240 is 42810948.

849018240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 849018195 and 849018204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117451 + ... + 124469.

It is an arithmetic number, because the mean of its divisors is an integer number (13425750).

Almost surely, 2^849018240 is an apocalyptic number.

849018240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

849018240 is an abundant number, since it is smaller than the sum of its proper divisors (2587973760).

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

849018240 is a wasteful number, since it uses less digits than its factorization.

849018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 849018240 is about 29137.9175645755. The cubic root of 849018240 is about 946.9033946980.

The spelling of 849018240 in words is "eight hundred forty-nine million, eighteen thousand, two hundred forty".