1057120 has 24 divisors (see below), whose sum is σ = 2497824. Its totient is φ = 422784.

The previous prime is 1057117. The next prime is 1057129. The reversal of 1057120 is 217501.

It is a super-2 number, since 2×1057120² = 2235005388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1057094 and 1057103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3144 + ... + 3463.

It is an arithmetic number, because the mean of its divisors is an integer number (104076).

2^1057120 is an apocalyptic number.

1057120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057120 is an abundant number, since it is smaller than the sum of its proper divisors (1440704).

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

1057120 is an equidigital number, since it uses as much as digits as its factorization.

1057120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1057120 is about 1028.1634111366. The cubic root of 1057120 is about 101.8688561916.

It can be divided in two parts, 105 and 7120, that added together give a square (7225 = 85²).

The spelling of 1057120 in words is "one million, fifty-seven thousand, one hundred twenty".