56016 has 30 divisors (see below), whose sum is σ = 157170. Its totient is φ = 18624.

The previous prime is 56009. The next prime is 56039. The reversal of 56016 is 61065.

56016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 14400 = 204^2 + 120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 56016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (5239).

2⁵⁶⁰¹⁶ 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 56016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78585).

56016 is an abundant number, since it is smaller than the sum of its proper divisors (101154).

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

56016 is a wasteful number, since it uses less digits than its factorization.

56016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

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

The square root of 56016 is about 236.6769950798. The cubic root of 56016 is about 38.2622669869.

It can be divided in two parts, 560 and 16, that added together give a square (576 = 24²).

The spelling of 56016 in words is "fifty-six thousand, sixteen".