9264800 has 72 divisors (see below), whose sum is σ = 23303196. Its totient is φ = 3594240.

The previous prime is 9264797. The next prime is 9264803. The reversal of 9264800 is 84629.

It is an interprime number because it is at equal distance from previous prime (9264797) and next prime (9264803).

It can be written as a sum of positive squares in 6 ways, for example, as 2274064 + 6990736 = 1508^2 + 2644^2 .

It is not an unprimeable number, because it can be changed into a prime (9264803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29444 + ... + 29756.

Almost surely, 2^9264800 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 9264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11651598).

9264800 is an abundant number, since it is smaller than the sum of its proper divisors (14038396).

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

9264800 is a wasteful number, since it uses less digits than its factorization.

9264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 9264800 is about 3043.8133976970. The cubic root of 9264800 is about 210.0287186725.

The spelling of 9264800 in words is "nine million, two hundred sixty-four thousand, eight hundred".