1056316800 has 384 divisors, whose sum is σ = 4340793600. Its totient is φ = 219340800.

The previous prime is 1056316783. The next prime is 1056316813. The reversal of 1056316800 is 86136501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1056316800² = 2231610363924480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738486 + ... + 739914.

It is an arithmetic number, because the mean of its divisors is an integer number (11304150).

Almost surely, 2^1056316800 is an apocalyptic number.

1056316800 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 1056316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170396800).

1056316800 is an abundant number, since it is smaller than the sum of its proper divisors (3284476800).

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

1056316800 is a wasteful number, since it uses less digits than its factorization.

1056316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1056316800 is about 32501.0276760597. The cubic root of 1056316800 is about 1018.4304966177.

The spelling of 1056316800 in words is "one billion, fifty-six million, three hundred sixteen thousand, eight hundred".