1056972800 has 168 divisors, whose sum is σ = 2829868356. Its totient is φ = 389283840.

The previous prime is 1056972781. The next prime is 1056972817. The reversal of 1056972800 is 82796501.

It can be written as a sum of positive squares in 6 ways, for example, as 274763776 + 782209024 = 16576^2 + 27968^2 .

It is a super-2 number, since 2×1056972800² = 2234382999879680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662202 + ... + 2662598.

Almost surely, 2^1056972800 is an apocalyptic number.

1056972800 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 1056972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414934178).

1056972800 is an abundant number, since it is smaller than the sum of its proper divisors (1772895556).

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

1056972800 is an equidigital number, since it uses as much as digits as its factorization.

1056972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1056972800 is about 32511.1180982752. The cubic root of 1056972800 is about 1018.6412768663.

The spelling of 1056972800 in words is "one billion, fifty-six million, nine hundred seventy-two thousand, eight hundred".