5505600 has 168 divisors, whose sum is σ = 19149568. Its totient is φ = 1382400.

The previous prime is 5505593. The next prime is 5505601. The reversal of 5505600 is 65055.

It is not an unprimeable number, because it can be changed into a prime (5505601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148782 + ... + 148818.

Almost surely, 2^5505600 is an apocalyptic number.

5505600 is a gapful number since it is divisible by the number (50) 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 5505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574784).

5505600 is an abundant number, since it is smaller than the sum of its proper divisors (13643968).

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

5505600 is a wasteful number, since it uses less digits than its factorization.

5505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 5505600 is about 2346.4015001700. The cubic root of 5505600 is about 176.5773053865.

It can be divided in two parts, 5505 and 600, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5505600 in words is "five million, five hundred five thousand, six hundred".