849532320 has 384 divisors, whose sum is σ = 3661217280. Its totient is φ = 179159040.

The previous prime is 849532319. The next prime is 849532373. The reversal of 849532320 is 23235948.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392040 + ... + 394200.

It is an arithmetic number, because the mean of its divisors is an integer number (9534420).

Almost surely, 2^849532320 is an apocalyptic number.

849532320 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 849532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830608640).

849532320 is an abundant number, since it is smaller than the sum of its proper divisors (2811684960).

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

849532320 is a wasteful number, since it uses less digits than its factorization.

849532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 849532320 is about 29146.7377248295. The cubic root of 849532320 is about 947.0944726034.

The spelling of 849532320 in words is "eight hundred forty-nine million, five hundred thirty-two thousand, three hundred twenty".