983349360 has 480 divisors, whose sum is σ = 4178304000. Its totient is φ = 201940992.

The previous prime is 983349359. The next prime is 983349379. The reversal of 983349360 is 63943389.

983349360 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 (45).

It is a congruent number.

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, 1970391 + ... + 1970889.

It is an arithmetic number, because the mean of its divisors is an integer number (8704800).

Almost surely, 2^983349360 is an apocalyptic number.

983349360 is a gapful number since it is divisible by the number (90) 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 983349360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152000).

983349360 is an abundant number, since it is smaller than the sum of its proper divisors (3194954640).

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

983349360 is a wasteful number, since it uses less digits than its factorization.

983349360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 983349360 is about 31358.4017449869. The cubic root of 983349360 is about 994.4186936404.

The spelling of 983349360 in words is "nine hundred eighty-three million, three hundred forty-nine thousand, three hundred sixty".