9245600 has 144 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 2903040.

The previous prime is 9245591. The next prime is 9245611. The reversal of 9245600 is 65429.

It is a super-2 number, since 2×9245600² = 170962238720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 9245600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72737 + ... + 72863.

It is an arithmetic number, because the mean of its divisors is an integer number (194432).

Almost surely, 2^9245600 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 9245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

9245600 is an abundant number, since it is smaller than the sum of its proper divisors (18752608).

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

9245600 is a wasteful number, since it uses less digits than its factorization.

9245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 9245600 is about 3040.6578235638. The cubic root of 9245600 is about 209.8835333027.

The spelling of 9245600 in words is "nine million, two hundred forty-five thousand, six hundred".