1225824 has 36 divisors (see below), whose sum is σ = 3246516. Its totient is φ = 404992.

The previous prime is 1225817. The next prime is 1225849. The reversal of 1225824 is 4285221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1225794 and 1225803.

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, 10792 + ... + 10904.

It is an arithmetic number, because the mean of its divisors is an integer number (90181).

2^1225824 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 1225824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623258).

1225824 is an abundant number, since it is smaller than the sum of its proper divisors (2020692).

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

1225824 is an equidigital number, since it uses as much as digits as its factorization.

1225824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 118 counting only the distinct ones).

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

The square root of 1225824 is about 1107.1693637380. The cubic root of 1225824 is about 107.0227336911.

Multiplying 1225824 by its sum of digits (24), we get a square (29419776 = 5424²).

1225824 divided by its sum of digits (24) gives a square (51076 = 226²).

The spelling of 1225824 in words is "one million, two hundred twenty-five thousand, eight hundred twenty-four".