1056545600 has 168 divisors, whose sum is σ = 2860718688. Its totient is φ = 380876800.

The previous prime is 1056545573. The next prime is 1056545621. The reversal of 1056545600 is 65456501.

It is a super-2 number, since 2×1056545600² = 2232577209758720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3044627 + ... + 3044973.

Almost surely, 2^1056545600 is an apocalyptic number.

1056545600 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 1056545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430359344).

1056545600 is an abundant number, since it is smaller than the sum of its proper divisors (1804173088).

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

1056545600 is a wasteful number, since it uses less digits than its factorization.

1056545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 1056545600 is about 32504.5473741752. The cubic root of 1056545600 is about 1018.5040225636.

It can be divided in two parts, 10565 and 45600, that added together give a palindrome (56165).

The spelling of 1056545600 in words is "one billion, fifty-six million, five hundred forty-five thousand, six hundred".