5616000 has 256 divisors, whose sum is σ = 22276800. Its totient is φ = 1382400.

The previous prime is 5615977. The next prime is 5616011. The reversal of 5616000 is 6165.

5616000 = 31³ + 32³ + ... + 69³.

5616000 is a `hidden beast` number, since 5 + 61 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431994 + ... + 432006.

Almost surely, 2^5616000 is an apocalyptic number.

5616000 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 5616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400).

5616000 is an abundant number, since it is smaller than the sum of its proper divisors (16660800).

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

5616000 is a wasteful number, since it uses less digits than its factorization.

5616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5616000 is about 2369.8101189758. The cubic root of 5616000 is about 177.7497641044.

It can be divided in two parts, 561 and 6000, that added together give a 8-th power (6561 = 3⁸).

The spelling of 5616000 in words is "five million, six hundred sixteen thousand".