10616 has 8 divisors (see below), whose sum is σ = 19920. Its totient is φ = 5304.

The previous prime is 10613. The next prime is 10627. The reversal of 10616 is 61601.

10616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×10616² = 225398912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613) 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 as a sum of consecutive naturals, namely, 656 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (2490).

2¹⁰⁶¹⁶ is an apocalyptic number.

It is an amenable number.

10616 is a deficient number, since it is larger than the sum of its proper divisors (9304).

10616 is a wasteful number, since it uses less digits than its factorization.

10616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10616 is about 103.0339749791. The cubic root of 10616 is about 21.9779393184.

It can be divided in two parts, 10 and 616, that added together give a palindrome (626).

The spelling of 10616 in words is "ten thousand, six hundred sixteen".