11518920 has 144 divisors (see below), whose sum is σ = 43615260. Its totient is φ = 2628864.

The previous prime is 11518919. The next prime is 11518943. The reversal of 11518920 is 2981511.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 509796 = 3318^2 + 714^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17314 + ... + 17966.

Almost surely, 2^11518920 is an apocalyptic number.

11518920 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 11518920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21807630).

11518920 is an abundant number, since it is smaller than the sum of its proper divisors (32096340).

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

11518920 is a wasteful number, since it uses less digits than its factorization.

11518920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11518920 is about 3393.9534469406. The cubic root of 11518920 is about 225.8415889407.

The spelling of 11518920 in words is "eleven million, five hundred eighteen thousand, nine hundred twenty".