1129824 has 36 divisors (see below), whose sum is σ = 3213756. Its totient is φ = 376512.

The previous prime is 1129819. The next prime is 1129831. The reversal of 1129824 is 4289211.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1674 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (89271).

2^1129824 is an apocalyptic number.

It is an amenable number.

1129824 is an abundant number, since it is smaller than the sum of its proper divisors (2083932).

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

1129824 is a wasteful number, since it uses less digits than its factorization.

1129824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3928 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1129824 is about 1062.9317946134. The cubic root of 1129824 is about 104.1526358346.

It can be divided in two parts, 1129 and 824, that added together give a triangular number (1953 = T₆₂).

The spelling of 1129824 in words is "one million, one hundred twenty-nine thousand, eight hundred twenty-four".