1005561600 has 216 divisors, whose sum is σ = 3363868032. Its totient is φ = 264499200.

The previous prime is 1005561589. The next prime is 1005561619. The reversal of 1005561600 is 61655001.

It is a super-3 number, since 3×1005561600³ (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 (24).

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, 1593285 + ... + 1593915.

Almost surely, 2^1005561600 is an apocalyptic number.

1005561600 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 1005561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681934016).

1005561600 is an abundant number, since it is smaller than the sum of its proper divisors (2358306432).

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

1005561600 is an equidigital number, since it uses as much as digits as its factorization.

1005561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1005561600 is about 31710.5912906083. The cubic root of 1005561600 is about 1001.8504404249.

The spelling of 1005561600 in words is "one billion, five million, five hundred sixty-one thousand, six hundred".