5005600 has 36 divisors (see below), whose sum is σ = 12221874. Its totient is φ = 2001920.

The previous prime is 5005549. The next prime is 5005613. The reversal of 5005600 is 65005.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4822416 + 183184 = 2196^2 + 428^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2329 + ... + 3928.

Almost surely, 2^5005600 is an apocalyptic number.

5005600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5005600 is an abundant number, since it is smaller than the sum of its proper divisors (7216274).

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

5005600 is a wasteful number, since it uses less digits than its factorization.

5005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5005600 is about 2237.3198251479. The cubic root of 5005600 is about 171.0614099512.

The spelling of 5005600 in words is "five million, five thousand, six hundred".