11831880 has 64 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 3080448.

The previous prime is 11831873. The next prime is 11831917. The reversal of 11831880 is 8813811.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014 + ... + 6306.

It is an arithmetic number, because the mean of its divisors is an integer number (567765).

Almost surely, 2^11831880 is an apocalyptic number.

11831880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11831880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

11831880 is an abundant number, since it is smaller than the sum of its proper divisors (24505080).

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

11831880 is a wasteful number, since it uses less digits than its factorization.

11831880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 11831880 is about 3439.7499909150. The cubic root of 11831880 is about 227.8686531876.

The spelling of 11831880 in words is "eleven million, eight hundred thirty-one thousand, eight hundred eighty".