9961320 has 128 divisors (see below), whose sum is σ = 33436800. Its totient is φ = 2359296.

The previous prime is 9961313. The next prime is 9961333. The reversal of 9961320 is 231699.

It is a super-2 number, since 2×9961320² = 198455792284800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38632 + ... + 38888.

It is an arithmetic number, because the mean of its divisors is an integer number (261225).

Almost surely, 2^9961320 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 9961320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718400).

9961320 is an abundant number, since it is smaller than the sum of its proper divisors (23475480).

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

9961320 is a wasteful number, since it uses less digits than its factorization.

9961320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9961320 is about 3156.1558896861. The cubic root of 9961320 is about 215.1653316365.

The spelling of 9961320 in words is "nine million, nine hundred sixty-one thousand, three hundred twenty".