11890 has 16 divisors (see below), whose sum is σ = 22680. Its totient is φ = 4480.

The previous prime is 11887. The next prime is 11897. The reversal of 11890 is 9811.

11890 = T₂₄ + T₂₅ + ... + T₄₃.

11890 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 5329 = 81^2 + 73^2 .

11890 is an undulating number in base 12.

It is not an unprimeable number, because it can be changed into a prime (11897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 310.

2¹¹⁸⁹⁰ is an apocalyptic number.

11890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11890 is a deficient number, since it is larger than the sum of its proper divisors (10790).

11890 is a wasteful number, since it uses less digits than its factorization.

11890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 11890 is about 109.0412765883. The cubic root of 11890 is about 22.8241152459.

It can be divided in two parts, 1 and 1890, that added together give a triangular number (1891 = T₆₁).

The spelling of 11890 in words is "eleven thousand, eight hundred ninety".