56416 has 24 divisors (see below), whose sum is σ = 116424. Its totient is φ = 26880.

The previous prime is 56401. The next prime is 56417. The reversal of 56416 is 61465.

56416 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1291 + ... + 1333.

It is an arithmetic number, because the mean of its divisors is an integer number (4851).

2⁵⁶⁴¹⁶ 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 56416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212).

56416 is an abundant number, since it is smaller than the sum of its proper divisors (60008).

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

56416 is a wasteful number, since it uses less digits than its factorization.

56416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

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

The square root of 56416 is about 237.5205254289. The cubic root of 56416 is about 38.3531256748.

Subtracting from 56416 its product of digits (720), we obtain a square (55696 = 236²).

The spelling of 56416 in words is "fifty-six thousand, four hundred sixteen".