5612800 has 54 divisors (see below), whose sum is σ = 13908398. Its totient is φ = 2242560.

The previous prime is 5612749. The next prime is 5612801. The reversal of 5612800 is 82165.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 4596736 = 1008^2 + 2144^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5612801) 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, 5962 + ... + 6838.

Almost surely, 2^5612800 is an apocalyptic number.

5612800 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 5612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954199).

5612800 is an abundant number, since it is smaller than the sum of its proper divisors (8295598).

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

5612800 is an equidigital number, since it uses as much as digits as its factorization.

5612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 5612800 is about 2369.1348631937. The cubic root of 5612800 is about 177.7159970512.

Adding to 5612800 its reverse (82165), we get a palindrome (5694965).

The spelling of 5612800 in words is "five million, six hundred twelve thousand, eight hundred".