35616 has 48 divisors (see below), whose sum is σ = 108864. Its totient is φ = 9984.

The previous prime is 35603. The next prime is 35617. The reversal of 35616 is 61653.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 35592 and 35601.

It is not an unprimeable number, because it can be changed into a prime (35617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2³⁵⁶¹⁶ 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 35616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

35616 is an abundant number, since it is smaller than the sum of its proper divisors (73248).

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

35616 is a wasteful number, since it uses less digits than its factorization.

35616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

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

The square root of 35616 is about 188.7220177934. The cubic root of 35616 is about 32.9014507110.

The spelling of 35616 in words is "thirty-five thousand, six hundred sixteen".