5616800 has 144 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1781760.

The previous prime is 5616769. The next prime is 5616827. The reversal of 5616800 is 86165.

It is a self number, because there is not a number n which added to its sum of digits gives 5616800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95171 + ... + 95229.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^5616800 is an apocalyptic number.

5616800 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 5616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5616800 is an abundant number, since it is smaller than the sum of its proper divisors (11257120).

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

5616800 is a wasteful number, since it uses less digits than its factorization.

5616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5616800 is about 2369.9789028597. The cubic root of 5616800 is about 177.7582038634.

The spelling of 5616800 in words is "five million, six hundred sixteen thousand, eight hundred".