9024000 has 160 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 2355200.

The previous prime is 9023999. The next prime is 9024011. The reversal of 9024000 is 4209.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191977 + ... + 192023.

Almost surely, 2^9024000 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 9024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

9024000 is an abundant number, since it is smaller than the sum of its proper divisors (21616896).

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

9024000 is an equidigital number, since it uses as much as digits as its factorization.

9024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 9024000 is about 3003.9973368830. The cubic root of 9024000 is about 208.1931145358.

Adding to 9024000 its reverse (4209), we get a palindrome (9028209).

It can be divided in two parts, 90 and 24000, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 9024000 in words is "nine million, twenty-four thousand".