1205824 has 28 divisors (see below), whose sum is σ = 2432304. Its totient is φ = 593024.

The previous prime is 1205819. The next prime is 1205843. The reversal of 1205824 is 4285021.

It is a junction number, because it is equal to n+sod(n) for n = 1205795 and 1205804.

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 3 ways as a sum of consecutive naturals, for example, 5199 + ... + 5425.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

2^1205824 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 1205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216152).

1205824 is an abundant number, since it is smaller than the sum of its proper divisors (1226480).

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

1205824 is an equidigital number, since it uses as much as digits as its factorization.

1205824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1205824 is about 1098.1001775794. The cubic root of 1205824 is about 106.4374940881.

The spelling of 1205824 in words is "one million, two hundred five thousand, eight hundred twenty-four".