1055504000 has 128 divisors (see below), whose sum is σ = 2689923600. Its totient is φ = 411648000.

The previous prime is 1055503993. The next prime is 1055504011. The reversal of 1055504000 is 4055501.

It can be written as a sum of positive squares in 8 ways, for example, as 48330304 + 1007173696 = 6952^2 + 31736^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1055504000² = 2228177388032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655196 + ... + 656804.

Almost surely, 2^1055504000 is an apocalyptic number.

1055504000 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 1055504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344961800).

1055504000 is an abundant number, since it is smaller than the sum of its proper divisors (1634419600).

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

1055504000 is an equidigital number, since it uses as much as digits as its factorization.

1055504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1055504000 is about 32488.5210497492. The cubic root of 1055504000 is about 1018.1692136659.

Adding to 1055504000 its reverse (4055501), we get a palindrome (1059559501).

The spelling of 1055504000 in words is "one billion, fifty-five million, five hundred four thousand".