1057600 has 42 divisors (see below), whose sum is σ = 2606294. Its totient is φ = 422400.

The previous prime is 1057579. The next prime is 1057603. The reversal of 1057600 is 67501.

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 891136 = 408^2 + 944^2 .

It is a super-2 number, since 2×1057600² = 2237035520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057603) 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 5 ways as a sum of consecutive naturals, for example, 1270 + ... + 1930.

2^1057600 is an apocalyptic number.

1057600 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 1057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303147).

1057600 is an abundant number, since it is smaller than the sum of its proper divisors (1548694).

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

1057600 is an equidigital number, since it uses as much as digits as its factorization.

1057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1057600 is about 1028.3968105746. The cubic root of 1057600 is about 101.8842721810.

Subtracting from 1057600 its reverse (67501), we obtain a palindrome (990099).

The spelling of 1057600 in words is "one million, fifty-seven thousand, six hundred".