38960 has 20 divisors (see below), whose sum is σ = 90768. Its totient is φ = 15552.

The previous prime is 38959. The next prime is 38971. The reversal of 38960 is 6983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 323.

2³⁸⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

38960 is an abundant number, since it is smaller than the sum of its proper divisors (51808).

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 (45384).

38960 is a wasteful number, since it uses less digits than its factorization.

38960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 38960 is about 197.3828766636. The cubic root of 38960 is about 33.9005165789.

The spelling of 38960 in words is "thirty-eight thousand, nine hundred sixty".