38660 has 12 divisors (see below), whose sum is σ = 81228. Its totient is φ = 15456.

The previous prime is 38653. The next prime is 38669. The reversal of 38660 is 6683.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 18496 = 142^2 + 136^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38660.

It is not an unprimeable number, because it can be changed into a prime (38669) by changing a digit.

38660 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 3 ways as a sum of consecutive naturals, for example, 947 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (6769).

2³⁸⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

38660 is an abundant number, since it is smaller than the sum of its proper divisors (42568).

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 (40614).

38660 is a wasteful number, since it uses less digits than its factorization.

38660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 38660 is about 196.6214637317. The cubic root of 38660 is about 33.8132786313.

Adding to 38660 its sum of digits (23), we get a palindrome (38683).

The spelling of 38660 in words is "thirty-eight thousand, six hundred sixty".