9213600 has 144 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 2227200.

The previous prime is 9213587. The next prime is 9213601. The reversal of 9213600 is 63129.

9213600 = T₂₉ + T₃₀ + ... + T₃₈₀.

It is not an unprimeable number, because it can be changed into a prime (9213601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26226 + ... + 26574.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 2^9213600 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 9213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

9213600 is an abundant number, since it is smaller than the sum of its proper divisors (23596800).

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

9213600 is a wasteful number, since it uses less digits than its factorization.

9213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 9213600 is about 3035.3912433161. The cubic root of 9213600 is about 209.6411103636.

Adding to 9213600 its reverse (63129), we get a palindrome (9276729).

The spelling of 9213600 in words is "nine million, two hundred thirteen thousand, six hundred".