1056807680 has 72 divisors (see below), whose sum is σ = 2641518432. Its totient is φ = 404332544.

The previous prime is 1056807679. The next prime is 1056807691. The reversal of 1056807680 is 867086501.

It is a super-2 number, since 2×1056807680² = 2233684945013964800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11492 + ... + 47388.

It is an arithmetic number, because the mean of its divisors is an integer number (36687756).

Almost surely, 2^1056807680 is an apocalyptic number.

1056807680 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 1056807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320759216).

1056807680 is an abundant number, since it is smaller than the sum of its proper divisors (1584710752).

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

1056807680 is an equidigital number, since it uses as much as digits as its factorization.

1056807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35941 (or 35927 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 1056807680 is about 32508.5785601278. The cubic root of 1056807680 is about 1018.5882301505.

The spelling of 1056807680 in words is "one billion, fifty-six million, eight hundred seven thousand, six hundred eighty".