5501600 has 108 divisors (see below), whose sum is σ = 15120126. Its totient is φ = 1943040.

The previous prime is 5501593. The next prime is 5501609. The reversal of 5501600 is 61055.

It can be written as a sum of positive squares in 3 ways, for example, as 3055504 + 2446096 = 1748^2 + 1564^2 .

It is not an unprimeable number, because it can be changed into a prime (5501609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 239189 + ... + 239211.

Almost surely, 2^5501600 is an apocalyptic number.

5501600 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 5501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560063).

5501600 is an abundant number, since it is smaller than the sum of its proper divisors (9618526).

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

5501600 is a wasteful number, since it uses less digits than its factorization.

5501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5501600 is about 2345.5489762527. The cubic root of 5501600 is about 176.5345319472.

Adding to 5501600 its reverse (61055), we get a palindrome (5562655).

The spelling of 5501600 in words is "five million, five hundred one thousand, six hundred".