1056996000 has 192 divisors, whose sum is σ = 3847858560. Its totient is φ = 281836800.

The previous prime is 1056995993. The next prime is 1056996043. The reversal of 1056996000 is 6996501.

1056996000 is a `hidden beast` number, since 1 + 0 + 569 + 96 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1056996000² = 2234481088032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 103107 + ... + 112893.

It is an arithmetic number, because the mean of its divisors is an integer number (20040930).

Almost surely, 2^1056996000 is an apocalyptic number.

1056996000 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 1056996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923929280).

1056996000 is an abundant number, since it is smaller than the sum of its proper divisors (2790862560).

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

1056996000 is an equidigital number, since it uses as much as digits as its factorization.

1056996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1056996000 is about 32511.4748973343. The cubic root of 1056996000 is about 1018.6487296928.

The spelling of 1056996000 in words is "one billion, fifty-six million, nine hundred ninety-six thousand".