35664 has 20 divisors (see below), whose sum is σ = 92256. Its totient is φ = 11872.

The previous prime is 35617. The next prime is 35671. The reversal of 35664 is 46653.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35664.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 419.

2³⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

35664 is an abundant number, since it is smaller than the sum of its proper divisors (56592).

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 (46128).

35664 is a wasteful number, since it uses less digits than its factorization.

35664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 35664 is about 188.8491461458. The cubic root of 35664 is about 32.9162246019.

It can be divided in two parts, 3566 and 4, that added together give a triangular number (3570 = T₈₄).

The spelling of 35664 in words is "thirty-five thousand, six hundred sixty-four".