9923200 has 96 divisors (see below), whose sum is σ = 28078560. Its totient is φ = 3394560.

The previous prime is 9923171. The next prime is 9923201. The reversal of 9923200 is 23299.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (9923201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22179 + ... + 22621.

It is an arithmetic number, because the mean of its divisors is an integer number (292485).

Almost surely, 2^9923200 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 9923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039280).

9923200 is an abundant number, since it is smaller than the sum of its proper divisors (18155360).

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

9923200 is a wasteful number, since it uses less digits than its factorization.

9923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 9923200 is about 3150.1111091515. Note that the first 4 decimals coincide. The cubic root of 9923200 is about 214.8905157370.

Adding to 9923200 its reverse (23299), we get a palindrome (9946499).

The spelling of 9923200 in words is "nine million, nine hundred twenty-three thousand, two hundred".