1152768 has 72 divisors (see below), whose sum is σ = 3270400. Its totient is φ = 359424.

The previous prime is 1152763. The next prime is 1152773. The reversal of 1152768 is 8672511.

It is an interprime number because it is at equal distance from previous prime (1152763) and next prime (1152773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152761) by changing a digit.

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, 14553 + ... + 14631.

2^1152768 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 1152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635200).

1152768 is an abundant number, since it is smaller than the sum of its proper divisors (2117632).

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

1152768 is an equidigital number, since it uses as much as digits as its factorization.

1152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 1152768 is about 1073.6703404677. The cubic root of 1152768 is about 104.8529460726.

It can be divided in two parts, 1152 and 768, that multiplied together give a cube (884736 = 96³).

The spelling of 1152768 in words is "one million, one hundred fifty-two thousand, seven hundred sixty-eight".