9960840 has 128 divisors (see below), whose sum is σ = 34732800. Its totient is φ = 2534400.

The previous prime is 9960787. The next prime is 9960869. The reversal of 9960840 is 480699.

9960840 is a `hidden beast` number, since 9 + 9 + 608 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9960795 and 9960804.

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, 24640 + ... + 25040.

It is an arithmetic number, because the mean of its divisors is an integer number (271350).

Almost surely, 2^9960840 is an apocalyptic number.

9960840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366400).

9960840 is an abundant number, since it is smaller than the sum of its proper divisors (24771960).

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

9960840 is a wasteful number, since it uses less digits than its factorization.

9960840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9960840 is about 3156.0798468987. The cubic root of 9960840 is about 215.1618755679.

The spelling of 9960840 in words is "nine million, nine hundred sixty thousand, eight hundred forty".