11670 has 16 divisors (see below), whose sum is σ = 28080. Its totient is φ = 3104.

The previous prime is 11657. The next prime is 11677. The reversal of 11670 is 7611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677) by changing a digit.

11670 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 7 ways as a sum of consecutive naturals, for example, 165 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2¹¹⁶⁷⁰ is an apocalyptic number.

11670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11670 is an abundant number, since it is smaller than the sum of its proper divisors (16410).

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 (14040).

11670 is a wasteful number, since it uses less digits than its factorization.

11670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11670 is about 108.0277742065. The cubic root of 11670 is about 22.6824668767.

Subtracting from 11670 its product of nonzero digits (42), we obtain a triangular number (11628 = T₁₅₂).

The spelling of 11670 in words is "eleven thousand, six hundred seventy".