5616600 has 192 divisors, whose sum is σ = 20355840. Its totient is φ = 1267200.

The previous prime is 5616593. The next prime is 5616601. The reversal of 5616600 is 66165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5616601) 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 47 ways as a sum of consecutive naturals, for example, 151782 + ... + 151818.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

Almost surely, 2^5616600 is an apocalyptic number.

5616600 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 5616600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

5616600 is an abundant number, since it is smaller than the sum of its proper divisors (14739240).

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

5616600 is a wasteful number, since it uses less digits than its factorization.

5616600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5616600 is about 2369.9367080156. The cubic root of 5616600 is about 177.7560939988.

It can be divided in two parts, 5616 and 600, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5616600 in words is "five million, six hundred sixteen thousand, six hundred".