5065600 has 48 divisors (see below), whose sum is σ = 12521520. Its totient is φ = 2024960.

The previous prime is 5065583. The next prime is 5065601. The reversal of 5065600 is 65605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5065601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2409 + ... + 3991.

It is an arithmetic number, because the mean of its divisors is an integer number (260865).

Almost surely, 2^5065600 is an apocalyptic number.

5065600 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 5065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260760).

5065600 is an abundant number, since it is smaller than the sum of its proper divisors (7455920).

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

5065600 is a wasteful number, since it uses less digits than its factorization.

5065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5065600 is about 2250.6887834616. The cubic root of 5065600 is about 171.7421772726.

It can be divided in two parts, 5065 and 600, that added together give a palindrome (5665).

The spelling of 5065600 in words is "five million, sixty-five thousand, six hundred".