9152000 has 160 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 3072000.

The previous prime is 9151997. The next prime is 9152009. The reversal of 9152000 is 2519.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9152009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703994 + ... + 704006.

Almost surely, 2^9152000 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 9152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

9152000 is an abundant number, since it is smaller than the sum of its proper divisors (17658784).

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

9152000 is a wasteful number, since it uses less digits than its factorization.

9152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 9152000 is about 3025.2272641902. The cubic root of 9152000 is about 209.1728612702.

Adding to 9152000 its reverse (2519), we get a palindrome (9154519).

The spelling of 9152000 in words is "nine million, one hundred fifty-two thousand".