1057140 has 72 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 241344.

The previous prime is 1057129. The next prime is 1057157. The reversal of 1057140 is 417501.

It is a super-2 number, since 2×1057140² = 2235089959200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 11.

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 23 ways as a sum of consecutive naturals, for example, 841 + ... + 1679.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

2^1057140 is an apocalyptic number.

1057140 is a gapful number since it is divisible by the number (10) 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 1057140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

1057140 is an abundant number, since it is smaller than the sum of its proper divisors (2611980).

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

1057140 is a wasteful number, since it uses less digits than its factorization.

1057140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1057140 is about 1028.1731371710. The cubic root of 1057140 is about 101.8694986177.

It can be divided in two parts, 105 and 7140, that multiplied together give a triangular number (749700 = T₁₂₂₄).

The spelling of 1057140 in words is "one million, fifty-seven thousand, one hundred forty".