9827940 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2405376.

The previous prime is 9827929. The next prime is 9827953. The reversal of 9827940 is 497289.

It is an unprimeable number.

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, 42064 + ... + 42296.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^9827940 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 9827940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

9827940 is an abundant number, since it is smaller than the sum of its proper divisors (20049180).

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

9827940 is a wasteful number, since it uses less digits than its factorization.

9827940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 9827940 is about 3134.9545451250. The cubic root of 9827940 is about 214.2006735571.

The spelling of 9827940 in words is "nine million, eight hundred twenty-seven thousand, nine hundred forty".