5627600 has 60 divisors (see below), whose sum is σ = 14760960. Its totient is φ = 2044800.

The previous prime is 5627599. The next prime is 5627603. The reversal of 5627600 is 67265.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5627600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3761 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (246016).

Almost surely, 2^5627600 is an apocalyptic number.

5627600 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 5627600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380480).

5627600 is an abundant number, since it is smaller than the sum of its proper divisors (9133360).

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

5627600 is a wasteful number, since it uses less digits than its factorization.

5627600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5627600 is about 2372.2563099294. The cubic root of 5627600 is about 177.8720622559.

The spelling of 5627600 in words is "five million, six hundred twenty-seven thousand, six hundred".