9920820 has 192 divisors, whose sum is σ = 36126720. Its totient is φ = 1976832.

The previous prime is 9920803. The next prime is 9920821. The reversal of 9920820 is 280299.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920821) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 125541 + ... + 125619.

It is an arithmetic number, because the mean of its divisors is an integer number (188160).

Almost surely, 2^9920820 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 9920820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

9920820 is an abundant number, since it is smaller than the sum of its proper divisors (26205900).

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

9920820 is a wasteful number, since it uses less digits than its factorization.

9920820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9920820 is about 3149.7333220449. The cubic root of 9920820 is about 214.8733344406.

The spelling of 9920820 in words is "nine million, nine hundred twenty thousand, eight hundred twenty".