1056646656 has 240 divisors, whose sum is σ = 3396032640. Its totient is φ = 314081280.

The previous prime is 1056646627. The next prime is 1056646673. The reversal of 1056646656 is 6566466501.

1056646656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1056646656² = 2233004311271964672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1856740 + ... + 1857308.

It is an arithmetic number, because the mean of its divisors is an integer number (14150136).

Almost surely, 2^1056646656 is an apocalyptic number.

1056646656 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 1056646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

1056646656 is an abundant number, since it is smaller than the sum of its proper divisors (2339385984).

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

1056646656 is a wasteful number, since it uses less digits than its factorization.

1056646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 1056646656 is about 32506.1018271955. The cubic root of 1056646656 is about 1018.5364940004.

The spelling of 1056646656 in words is "one billion, fifty-six million, six hundred forty-six thousand, six hundred fifty-six".