983646720 has 640 divisors, whose sum is σ = 4242585600. Its totient is φ = 211009536.

The previous prime is 983646649. The next prime is 983646731. The reversal of 983646720 is 27646389.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192907 + ... + 9193013.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2^983646720 is an apocalyptic number.

983646720 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 983646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

983646720 is an abundant number, since it is smaller than the sum of its proper divisors (3258938880).

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

983646720 is a wasteful number, since it uses less digits than its factorization.

983646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 983646720 is about 31363.1426996722. The cubic root of 983646720 is about 994.5189193091.

The spelling of 983646720 in words is "nine hundred eighty-three million, six hundred forty-six thousand, seven hundred twenty".