1045824 has 56 divisors (see below), whose sum is σ = 2987040. Its totient is φ = 321024.

The previous prime is 1045819. The next prime is 1045829. The reversal of 1045824 is 4285401.

It is an interprime number because it is at equal distance from previous prime (1045819) and next prime (1045829).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1045794 and 1045803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

2^1045824 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 1045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493520).

1045824 is an abundant number, since it is smaller than the sum of its proper divisors (1941216).

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

1045824 is a wasteful number, since it uses less digits than its factorization.

1045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1045824 is about 1022.6553671692. The cubic root of 1045824 is about 101.5047115352.

The spelling of 1045824 in words is "one million, forty-five thousand, eight hundred twenty-four".