1129600 has 48 divisors (see below), whose sum is σ = 2798370. Its totient is φ = 450560.

The previous prime is 1129577. The next prime is 1129603. The reversal of 1129600 is 69211.

It can be written as a sum of positive squares in 3 ways, for example, as 788544 + 341056 = 888^2 + 584^2 .

It is not an unprimeable number, because it can be changed into a prime (1129603) 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 5 ways as a sum of consecutive naturals, for example, 3024 + ... + 3376.

2^1129600 is an apocalyptic number.

1129600 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 1129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399185).

1129600 is an abundant number, since it is smaller than the sum of its proper divisors (1668770).

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

1129600 is an equidigital number, since it uses as much as digits as its factorization.

1129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1129600 is about 1062.8264204469. The cubic root of 1129600 is about 104.1457522456.

The spelling of 1129600 in words is "one million, one hundred twenty-nine thousand, six hundred".