9248000 has 108 divisors (see below), whose sum is σ = 24472812. Its totient is φ = 3481600.

The previous prime is 9247999. The next prime is 9248009. The reversal of 9248000 is 8429.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 861184 + 8386816 = 928^2 + 2896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9248009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543992 + ... + 544008.

Almost surely, 2^9248000 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 9248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236406).

9248000 is an abundant number, since it is smaller than the sum of its proper divisors (15224812).

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

9248000 is an equidigital number, since it uses as much as digits as its factorization.

9248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 9248000 is about 3041.0524493997. The cubic root of 9248000 is about 209.9016924595.

The spelling of 9248000 in words is "nine million, two hundred forty-eight thousand".