10760 has 16 divisors (see below), whose sum is σ = 24300. Its totient is φ = 4288.

The previous prime is 10753. The next prime is 10771. The reversal of 10760 is 6701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 1156 = 98^2 + 34^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10760.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 174.

2¹⁰⁷⁶⁰ is an apocalyptic number.

10760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10760 is an abundant number, since it is smaller than the sum of its proper divisors (13540).

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 (12150).

10760 is a wasteful number, since it uses less digits than its factorization.

10760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 10760 is about 103.7304198391. The cubic root of 10760 is about 22.0768661099.

The spelling of 10760 in words is "ten thousand, seven hundred sixty".