35660 has 12 divisors (see below), whose sum is σ = 74928. Its totient is φ = 14256.

The previous prime is 35617. The next prime is 35671. The reversal of 35660 is 6653.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1783 = 35660 / (3 + 5 + 6 + 6 + 0).

It is a nialpdrome in base 15.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (6244).

2³⁵⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

35660 is an abundant number, since it is smaller than the sum of its proper divisors (39268).

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 (37464).

35660 is a wasteful number, since it uses less digits than its factorization.

35660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 35660 is about 188.8385553853. The cubic root of 35660 is about 32.9149939509.

The spelling of 35660 in words is "thirty-five thousand, six hundred sixty".