1056636000 has 432 divisors, whose sum is σ = 4369528800. Its totient is φ = 241113600.

The previous prime is 1056635971. The next prime is 1056636001. The reversal of 1056636000 is 6366501.

1056636000 is a `hidden beast` number, since 1 + 0 + 56 + 6 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×1056636000² = 2232959272992000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056636001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1763701 + ... + 1764299.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^1056636000 is an apocalyptic number.

1056636000 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 1056636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184764400).

1056636000 is an abundant number, since it is smaller than the sum of its proper divisors (3312892800).

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

1056636000 is a wasteful number, since it uses less digits than its factorization.

1056636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1056636000 is about 32505.9379190941. The cubic root of 1056636000 is about 1018.5330700992.

The spelling of 1056636000 in words is "one billion, fifty-six million, six hundred thirty-six thousand".