9013200 has 240 divisors, whose sum is σ = 35057280. Its totient is φ = 1935360.

The previous prime is 9013129. The next prime is 9013223. The reversal of 9013200 is 23109.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 9013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243582 + ... + 243618.

It is an arithmetic number, because the mean of its divisors is an integer number (146072).

Almost surely, 2^9013200 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 9013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528640).

9013200 is an abundant number, since it is smaller than the sum of its proper divisors (26044080).

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

9013200 is a wasteful number, since it uses less digits than its factorization.

9013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 9013200 is about 3002.1991939243. The cubic root of 9013200 is about 208.1100256160.

Adding to 9013200 its reverse (23109), we get a palindrome (9036309).

The spelling of 9013200 in words is "nine million, thirteen thousand, two hundred".