11905080 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 2777600.

The previous prime is 11905057. The next prime is 11905081. The reversal of 11905080 is 8050911.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11905080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11905081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38125 + ... + 38435.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 2^11905080 is an apocalyptic number.

11905080 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 11905080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

11905080 is an abundant number, since it is smaller than the sum of its proper divisors (28530120).

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

11905080 is a wasteful number, since it uses less digits than its factorization.

11905080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 11905080 is about 3450.3738927832. The cubic root of 11905080 is about 228.3376038888.

Adding to 11905080 its reverse (8050911), we get a palindrome (19955991).

The spelling of 11905080 in words is "eleven million, nine hundred five thousand, eighty".