9683138920 has 576 divisors, whose sum is σ = 30281610240. Its totient is φ = 2767564800.

The previous prime is 9683138869. The next prime is 9683138977. The reversal of 9683138920 is 298313869.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 236174100 + ... + 236174140.

It is an arithmetic number, because the mean of its divisors is an integer number (52572240).

Almost surely, 2^9683138920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9683138920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15140805120).

9683138920 is an abundant number, since it is smaller than the sum of its proper divisors (20598471320).

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

9683138920 is a wasteful number, since it uses less digits than its factorization.

9683138920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 9683138920 is about 98402.9416226974. The cubic root of 9683138920 is about 2131.4348095316.

The spelling of 9683138920 in words is "nine billion, six hundred eighty-three million, one hundred thirty-eight thousand, nine hundred twenty".