5668320 has 144 divisors (see below), whose sum is σ = 20856528. Its totient is φ = 1290240.

The previous prime is 5668309. The next prime is 5668339. The reversal of 5668320 is 238665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23400 + ... + 23640.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

Almost surely, 2^5668320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428264).

5668320 is an abundant number, since it is smaller than the sum of its proper divisors (15188208).

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

5668320 is a wasteful number, since it uses less digits than its factorization.

5668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5668320 is about 2380.8233869819. The cubic root of 5668320 is about 178.3000452226.

The spelling of 5668320 in words is "five million, six hundred sixty-eight thousand, three hundred twenty".