1056369600 has 1008 divisors, whose sum is σ = 4815108480. Its totient is φ = 223948800.

The previous prime is 1056369583. The next prime is 1056369623. The reversal of 1056369600 is 69636501.

1056369600 is a `hidden beast` number, since 1 + 0 + 563 + 6 + 96 + 0 + 0 = 666.

It is a super-3 number, since 3×1056369600³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 55598391 + ... + 55598409.

Almost surely, 2^1056369600 is an apocalyptic number.

1056369600 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 1056369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407554240).

1056369600 is an abundant number, since it is smaller than the sum of its proper divisors (3758738880).

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

1056369600 is a wasteful number, since it uses less digits than its factorization.

1056369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1056369600 is about 32501.8399479168. The cubic root of 1056369600 is about 1018.4474650860.

The spelling of 1056369600 in words is "one billion, fifty-six million, three hundred sixty-nine thousand, six hundred".