9201600 has 210 divisors, whose sum is σ = 34299144. Its totient is φ = 2419200.

The previous prime is 9201593. The next prime is 9201601. The reversal of 9201600 is 61029.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9201601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129565 + ... + 129635.

Almost surely, 2^9201600 is an apocalyptic number.

9201600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17149572).

9201600 is an abundant number, since it is smaller than the sum of its proper divisors (25097544).

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

9201600 is a wasteful number, since it uses less digits than its factorization.

9201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9201600 is about 3033.4139183435. The cubic root of 9201600 is about 209.5500570555.

Adding to 9201600 its reverse (61029), we get a palindrome (9262629).

It can be divided in two parts, 9201 and 600, that added together give a square (9801 = 99²).

The spelling of 9201600 in words is "nine million, two hundred one thousand, six hundred".