11201580 has 72 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 2756736.

The previous prime is 11201573. The next prime is 11201581. The reversal of 11201580 is 8510211.

11201580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11201581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54 + ... + 4733.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 2^11201580 is an apocalyptic number.

11201580 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 11201580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

11201580 is an abundant number, since it is smaller than the sum of its proper divisors (25397892).

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

11201580 is a wasteful number, since it uses less digits than its factorization.

11201580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 11201580 is about 3346.8761554620. The cubic root of 11201580 is about 223.7483089247.

Adding to 11201580 its reverse (8510211), we get a palindrome (19711791).

It can be divided in two parts, 11201 and 580, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11201580 in words is "eleven million, two hundred one thousand, five hundred eighty".