1152000 has 132 divisors (see below), whose sum is σ = 4151316. Its totient is φ = 307200.

The previous prime is 1151999. The next prime is 1152023. The reversal of 1152000 is 2511.

It is a happy number.

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 2 ways, for example, as 36864 + 1115136 = 192^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230398 + ... + 230402.

2^1152000 is an apocalyptic number.

1152000 is a gapful number since it is divisible by the number (10) 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 1152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075658).

1152000 is an abundant number, since it is smaller than the sum of its proper divisors (2999316).

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

1152000 is an equidigital number, since it uses as much as digits as its factorization.

1152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1152000 is about 1073.3126291999. The cubic root of 1152000 is about 104.8296557684.

Adding to 1152000 its reverse (2511), we get a palindrome (1154511).

The spelling of 1152000 in words is "one million, one hundred fifty-two thousand".