9819960 has 128 divisors (see below), whose sum is σ = 31968000. Its totient is φ = 2405376.

The previous prime is 9819959. The next prime is 9819961. The reversal of 9819960 is 699189.

It is an interprime number because it is at equal distance from previous prime (9819959) and next prime (9819961).

It is a super-2 number, since 2×9819960² = 192863228803200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9819961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134484 + ... + 134556.

It is an arithmetic number, because the mean of its divisors is an integer number (249750).

Almost surely, 2^9819960 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 9819960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984000).

9819960 is an abundant number, since it is smaller than the sum of its proper divisors (22148040).

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

9819960 is a wasteful number, since it uses less digits than its factorization.

9819960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 9819960 is about 3133.6815409355. The cubic root of 9819960 is about 214.1426829635.

The spelling of 9819960 in words is "nine million, eight hundred nineteen thousand, nine hundred sixty".