1152320 has 56 divisors (see below), whose sum is σ = 2965704. Its totient is φ = 423936.

The previous prime is 1152317. The next prime is 1152337. The reversal of 1152320 is 232511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 1149184 = 56^2 + 1072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1152295 and 1152304.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 4022 + ... + 4298.

It is an arithmetic number, because the mean of its divisors is an integer number (52959).

2^1152320 is an apocalyptic number.

1152320 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 1152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482852).

1152320 is an abundant number, since it is smaller than the sum of its proper divisors (1813384).

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

1152320 is a wasteful number, since it uses less digits than its factorization.

1152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1152320 is about 1073.4616900477. The cubic root of 1152320 is about 104.8393613194.

Adding to 1152320 its reverse (232511), we get a palindrome (1384831).

The spelling of 1152320 in words is "one million, one hundred fifty-two thousand, three hundred twenty".