36660 has 48 divisors (see below), whose sum is σ = 112896. Its totient is φ = 8832.

The previous prime is 36653. The next prime is 36671. The reversal of 36660 is 6663.

36660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 36660.

It is an unprimeable number.

36660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

2³⁶⁶⁶⁰ is an apocalyptic number.

36660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

36660 is an abundant number, since it is smaller than the sum of its proper divisors (76236).

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

36660 is a wasteful number, since it uses less digits than its factorization.

36660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36660 is about 191.4680129943. The cubic root of 36660 is about 33.2198362129.

It can be divided in two parts, 36 and 660, that added together give a palindrome (696).

The spelling of 36660 in words is "thirty-six thousand, six hundred sixty".