1057224 has 96 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 282240.

The previous prime is 1057223. The next prime is 1057237. The reversal of 1057224 is 4227501.

It is a super-2 number, since 2×1057224² = 2235445172352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1057224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34089 + ... + 34119.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2^1057224 is an apocalyptic number.

1057224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641600).

1057224 is an abundant number, since it is smaller than the sum of its proper divisors (2225976).

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

1057224 is a wasteful number, since it uses less digits than its factorization.

1057224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1057224 is about 1028.2139855108. The cubic root of 1057224 is about 101.8721967186.

The spelling of 1057224 in words is "one million, fifty-seven thousand, two hundred twenty-four".