35604 has 36 divisors (see below), whose sum is σ = 96096. Its totient is φ = 11088.

The previous prime is 35603. The next prime is 35617. The reversal of 35604 is 40653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807 + ... + 849.

2³⁵⁶⁰⁴ 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 35604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048).

35604 is an abundant number, since it is smaller than the sum of its proper divisors (60492).

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

35604 is a wasteful number, since it uses less digits than its factorization.

35604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 35604 is about 188.6902223222. The cubic root of 35604 is about 32.8977551644.

The spelling of 35604 in words is "thirty-five thousand, six hundred four".