53616 has 20 divisors (see below), whose sum is σ = 138632. Its totient is φ = 17856.

The previous prime is 53611. The next prime is 53617. The reversal of 53616 is 61635.

53616 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 53592 and 53601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53611) by changing a digit.

53616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 511 + ... + 606.

2⁵³⁶¹⁶ is an apocalyptic number.

It is an amenable number.

53616 is an abundant number, since it is smaller than the sum of its proper divisors (85016).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69316).

53616 is a wasteful number, since it uses less digits than its factorization.

53616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 53616 is about 231.5512902145. The cubic root of 53616 is about 37.7078238962.

The spelling of 53616 in words is "fifty-three thousand, six hundred sixteen".