9913800 has 192 divisors, whose sum is σ = 34997760. Its totient is φ = 2304000.

The previous prime is 9913753. The next prime is 9913807. The reversal of 9913800 is 83199.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9913807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241780 + ... + 241820.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^9913800 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 9913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

9913800 is an abundant number, since it is smaller than the sum of its proper divisors (25083960).

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

9913800 is a wasteful number, since it uses less digits than its factorization.

9913800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 9913800 is about 3148.6187447832. The cubic root of 9913800 is about 214.8226408241.

Adding to 9913800 its reverse (83199), we get a palindrome (9996999).

The spelling of 9913800 in words is "nine million, nine hundred thirteen thousand, eight hundred".