11541980 has 48 divisors (see below), whose sum is σ = 26036640. Its totient is φ = 4282368.

The previous prime is 11541967. The next prime is 11541989. The reversal of 11541980 is 8914511.

11541980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11541989) 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, 28016 + ... + 28424.

It is an arithmetic number, because the mean of its divisors is an integer number (542430).

Almost surely, 2^11541980 is an apocalyptic number.

11541980 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 11541980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018320).

11541980 is an abundant number, since it is smaller than the sum of its proper divisors (14494660).

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

11541980 is a wasteful number, since it uses less digits than its factorization.

11541980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 11541980 is about 3397.3489664737. The cubic root of 11541980 is about 225.9921943685.

It can be divided in two parts, 11541 and 980, that added together give a palindrome (12521).

The spelling of 11541980 in words is "eleven million, five hundred forty-one thousand, nine hundred eighty".