11541920 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4101120.

The previous prime is 11541919. The next prime is 11541923. The reversal of 11541920 is 2914511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11541923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64391 + ... + 64569.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^11541920 is an apocalyptic number.

11541920 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 11541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

11541920 is an abundant number, since it is smaller than the sum of its proper divisors (18940000).

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

11541920 is a wasteful number, since it uses less digits than its factorization.

11541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 11541920 is about 3397.3401360476. The cubic root of 11541920 is about 225.9918027674.

The spelling of 11541920 in words is "eleven million, five hundred forty-one thousand, nine hundred twenty".