9960813 has 24 divisors (see below), whose sum is σ = 15069600. Its totient is φ = 6574608.

The previous prime is 9960787. The next prime is 9960869. The reversal of 9960813 is 3180699.

It is not a de Polignac number, because 9960813 - 2⁵ = 9960781 is a prime.

9960813 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43383 + ... + 43611.

It is an arithmetic number, because the mean of its divisors is an integer number (627900).

Almost surely, 2^9960813 is an apocalyptic number.

It is an amenable number.

9960813 is a deficient number, since it is larger than the sum of its proper divisors (5108787).

9960813 is a wasteful number, since it uses less digits than its factorization.

9960813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9960813 is about 3156.0755694375. The cubic root of 9960813 is about 215.1616811607.

The spelling of 9960813 in words is "nine million, nine hundred sixty thousand, eight hundred thirteen".