65616 has 20 divisors (see below), whose sum is σ = 169632. Its totient is φ = 21856.

The previous prime is 65609. The next prime is 65617. The reversal of 65616 is 61656.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 636 + ... + 731.

2⁶⁵⁶¹⁶ is an apocalyptic number.

It is an amenable number.

65616 is an abundant number, since it is smaller than the sum of its proper divisors (104016).

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 (84816).

65616 is a wasteful number, since it uses less digits than its factorization.

65616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 65616 is about 256.1562023454. The cubic root of 65616 is about 40.3338721479. Note that the first 3 decimals are identical.

The spelling of 65616 in words is "sixty-five thousand, six hundred sixteen".