11115920 has 40 divisors (see below), whose sum is σ = 26482680. Its totient is φ = 4336640.

The previous prime is 11115917. The next prime is 11115953. The reversal of 11115920 is 2951111.

It can be written as a sum of positive squares in 4 ways, for example, as 1281424 + 9834496 = 1132^2 + 3136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11115892 and 11115901.

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, 1586 + ... + 4974.

It is an arithmetic number, because the mean of its divisors is an integer number (662067).

Almost surely, 2^11115920 is an apocalyptic number.

11115920 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 11115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241340).

11115920 is an abundant number, since it is smaller than the sum of its proper divisors (15366760).

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

11115920 is a wasteful number, since it uses less digits than its factorization.

11115920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 20.

The square root of 11115920 is about 3334.0545886353. The cubic root of 11115920 is about 223.1765043377.

The spelling of 11115920 in words is "eleven million, one hundred fifteen thousand, nine hundred twenty".