9948800 has 48 divisors (see below), whose sum is σ = 24584550. Its totient is φ = 3978240.

The previous prime is 9948797. The next prime is 9948833. The reversal of 9948800 is 88499.

It can be written as a sum of positive squares in 3 ways, for example, as 5721664 + 4227136 = 2392^2 + 2056^2 .

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 5 ways as a sum of consecutive naturals, for example, 1646 + ... + 4754.

Almost surely, 2^9948800 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 9948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292275).

9948800 is an abundant number, since it is smaller than the sum of its proper divisors (14635750).

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

9948800 is a wasteful number, since it uses less digits than its factorization.

9948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 9948800 is about 3154.1718405946. The cubic root of 9948800 is about 215.0751495004.

The spelling of 9948800 in words is "nine million, nine hundred forty-eight thousand, eight hundred".