1057760 has 48 divisors (see below), whose sum is σ = 2730672. Its totient is φ = 384000.

The previous prime is 1057753. The next prime is 1057781. The reversal of 1057760 is 677501.

It is a super-2 number, since 2×1057760² = 2237712435200, which contains 22 as substring.

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, 1460 + ... + 2060.

It is an arithmetic number, because the mean of its divisors is an integer number (56889).

2^1057760 is an apocalyptic number.

1057760 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 1057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365336).

1057760 is an abundant number, since it is smaller than the sum of its proper divisors (1672912).

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

1057760 is a wasteful number, since it uses less digits than its factorization.

1057760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 1057760 is about 1028.4745986168. The cubic root of 1057760 is about 101.8894098076.

It can be divided in two parts, 10 and 57760, that multiplied together give a square (577600 = 760²).

The spelling of 1057760 in words is "one million, fifty-seven thousand, seven hundred sixty".