16760 has 16 divisors (see below), whose sum is σ = 37800. Its totient is φ = 6688.

The previous prime is 16759. The next prime is 16763. The reversal of 16760 is 6761.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 249.

2¹⁶⁷⁶⁰ is an apocalyptic number.

16760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16760 is an abundant number, since it is smaller than the sum of its proper divisors (21040).

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 (18900).

16760 is a wasteful number, since it uses less digits than its factorization.

16760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 16760 is about 129.4604186615. The cubic root of 16760 is about 25.5912404927.

16760 divided by its sum of digits (20) gives a palindrome (838).

Subtracting from 16760 its reverse (6761), we obtain a palindrome (9999).

The spelling of 16760 in words is "sixteen thousand, seven hundred sixty".