11830890 has 16 divisors (see below), whose sum is σ = 28394208. Its totient is φ = 3154896.

The previous prime is 11830879. The next prime is 11830913. The reversal of 11830890 is 9803811.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 394363 = 11830890 / (1 + 1 + 8 + 3 + 0 + 8 + 9 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197152 + ... + 197211.

It is an arithmetic number, because the mean of its divisors is an integer number (1774638).

Almost surely, 2^11830890 is an apocalyptic number.

11830890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11830890 is an abundant number, since it is smaller than the sum of its proper divisors (16563318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11830890 is a wasteful number, since it uses less digits than its factorization.

11830890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394373.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11830890 is about 3439.6060820972. The cubic root of 11830890 is about 227.8622975828.

It can be divided in two parts, 11830 and 890, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 11830890 in words is "eleven million, eight hundred thirty thousand, eight hundred ninety".