9920800 has 36 divisors (see below), whose sum is σ = 24221106. Its totient is φ = 3968000.

The previous prime is 9920783. The next prime is 9920803. The reversal of 9920800 is 80299.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6780816 + 3139984 = 2604^2 + 1772^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5401 + ... + 7000.

Almost surely, 2^9920800 is an apocalyptic number.

It is an amenable number.

9920800 is an abundant number, since it is smaller than the sum of its proper divisors (14300306).

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

9920800 is a wasteful number, since it uses less digits than its factorization.

9920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12421 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 9920800 is about 3149.7301471713. The cubic root of 9920800 is about 214.8731900483.

The spelling of 9920800 in words is "nine million, nine hundred twenty thousand, eight hundred".