1253824 has 56 divisors (see below), whose sum is σ = 2944368. Its totient is φ = 522240.

The previous prime is 1253803. The next prime is 1253831. The reversal of 1253824 is 4283521.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9084 + ... + 9220.

It is an arithmetic number, because the mean of its divisors is an integer number (52578).

2^1253824 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 1253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472184).

1253824 is an abundant number, since it is smaller than the sum of its proper divisors (1690544).

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

1253824 is a wasteful number, since it uses less digits than its factorization.

1253824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 1253824 is about 1119.7428276171. The cubic root of 1253824 is about 107.8314701199.

The spelling of 1253824 in words is "one million, two hundred fifty-three thousand, eight hundred twenty-four".