1056864816 has 240 divisors, whose sum is σ = 3592825600. Its totient is φ = 283295232.

The previous prime is 1056864751. The next prime is 1056864829. The reversal of 1056864816 is 6184686501.

1056864816 is a `hidden beast` number, since 1 + 0 + 568 + 6 + 4 + 81 + 6 = 666.

It is a super-2 number, since 2×1056864816² = 2233926478597427712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2661930 + ... + 2662326.

Almost surely, 2^1056864816 is an apocalyptic number.

1056864816 is a gapful number since it is divisible by the number (16) 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 1056864816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796412800).

1056864816 is an abundant number, since it is smaller than the sum of its proper divisors (2535960784).

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

1056864816 is a wasteful number, since it uses less digits than its factorization.

1056864816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1056864816 is about 32509.4573316750. The cubic root of 1056864816 is about 1018.6065863786.

The spelling of 1056864816 in words is "one billion, fifty-six million, eight hundred sixty-four thousand, eight hundred sixteen".