9683089920 has 600 divisors, whose sum is σ = 40386431844. Its totient is φ = 2210955264.

The previous prime is 9683089903. The next prime is 9683089939. The reversal of 9683089920 is 299803869.

It can be written as a sum of positive squares in 2 ways, for example, as 9560146176 + 122943744 = 97776^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160164 + ... + 10161116.

Almost surely, 2^9683089920 is an apocalyptic number.

9683089920 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 9683089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20193215922).

9683089920 is an abundant number, since it is smaller than the sum of its proper divisors (30703341924).

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

9683089920 is an equidigital number, since it uses as much as digits as its factorization.

9683089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 9683089920 is about 98402.6926460857. The cubic root of 9683089920 is about 2131.4312142621.

The spelling of 9683089920 in words is "nine billion, six hundred eighty-three million, eighty-nine thousand, nine hundred twenty".