9820560 has 160 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 2351104.

The previous prime is 9820541. The next prime is 9820579. The reversal of 9820560 is 650289.

It is an interprime number because it is at equal distance from previous prime (9820541) and next prime (9820579).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118279 + ... + 118361.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 2^9820560 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 9820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

9820560 is an abundant number, since it is smaller than the sum of its proper divisors (23927280).

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

9820560 is a wasteful number, since it uses less digits than its factorization.

9820560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9820560 is about 3133.7772735151. Note that the first 3 decimals coincide. The cubic root of 9820560 is about 214.1470442505.

The spelling of 9820560 in words is "nine million, eight hundred twenty thousand, five hundred sixty".