9945200 has 90 divisors (see below), whose sum is σ = 25508784. Its totient is φ = 3724160.

The previous prime is 9945181. The next prime is 9945209. The reversal of 9945200 is 25499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211577 + ... + 211623.

Almost surely, 2^9945200 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 9945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754392).

9945200 is an abundant number, since it is smaller than the sum of its proper divisors (15563584).

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

9945200 is a wasteful number, since it uses less digits than its factorization.

9945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 9945200 is about 3153.6011161845. The cubic root of 9945200 is about 215.0492045306.

The spelling of 9945200 in words is "nine million, nine hundred forty-five thousand, two hundred".