849317040 has 480 divisors, whose sum is σ = 3426905664. Its totient is φ = 185794560.

The previous prime is 849317033. The next prime is 849317069. The reversal of 849317040 is 40713948.

It is a happy number.

849317040 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 = 849316986 and 849317004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7516024 + ... + 7516136.

Almost surely, 2^849317040 is an apocalyptic number.

849317040 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 849317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713452832).

849317040 is an abundant number, since it is smaller than the sum of its proper divisors (2577588624).

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

849317040 is a wasteful number, since it uses less digits than its factorization.

849317040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 849317040 is about 29143.0444531796. The cubic root of 849317040 is about 947.0144647692.

The spelling of 849317040 in words is "eight hundred forty-nine million, three hundred seventeen thousand, forty".