5616400 has 60 divisors (see below), whose sum is σ = 14222800. Its totient is φ = 2125440.

The previous prime is 5616389. The next prime is 5616407. The reversal of 5616400 is 46165.

It is not an unprimeable number, because it can be changed into a prime (5616407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7231 + ... + 7969.

Almost surely, 2^5616400 is an apocalyptic number.

5616400 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 5616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111400).

5616400 is an abundant number, since it is smaller than the sum of its proper divisors (8606400).

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

5616400 is a wasteful number, since it uses less digits than its factorization.

5616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5616400 is about 2369.8945124203. The cubic root of 5616400 is about 177.7539840841.

The spelling of 5616400 in words is "five million, six hundred sixteen thousand, four hundred".