1057180320 has 144 divisors (see below), whose sum is σ = 4123042560. Its totient is φ = 241638912.

The previous prime is 1057180301. The next prime is 1057180339. The reversal of 1057180320 is 230817501.

1057180320 is a `hidden beast` number, since 10 + 571 + 80 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1057180301) and next prime (1057180339).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1057180320² = 2235260457990604800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42360 + ... + 62519.

It is an arithmetic number, because the mean of its divisors is an integer number (28632240).

Almost surely, 2^1057180320 is an apocalyptic number.

1057180320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057180320 is an abundant number, since it is smaller than the sum of its proper divisors (3065862240).

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

1057180320 is a wasteful number, since it uses less digits than its factorization.

1057180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104907 (or 104896 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1057180320 is about 32514.3094652185. The cubic root of 1057180320 is about 1018.7079372398.

Adding to 1057180320 its reverse (230817501), we get a palindrome (1287997821).

The spelling of 1057180320 in words is "one billion, fifty-seven million, one hundred eighty thousand, three hundred twenty".