1057080 has 64 divisors (see below), whose sum is σ = 3317760. Its totient is φ = 268928.

The previous prime is 1057051. The next prime is 1057087. The reversal of 1057080 is 807501.

It is a happy number.

It is a super-2 number, since 2×1057080² = 2234836252800, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2569 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2^1057080 is an apocalyptic number.

1057080 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 1057080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658880).

1057080 is an abundant number, since it is smaller than the sum of its proper divisors (2260680).

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

1057080 is a wasteful number, since it uses less digits than its factorization.

1057080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1057080 is about 1028.1439587918. The cubic root of 1057080 is about 101.8675713152.

The spelling of 1057080 in words is "one million, fifty-seven thousand, eighty".