11532180 has 96 divisors (see below), whose sum is σ = 35779968. Its totient is φ = 2752000.

The previous prime is 11532179. The next prime is 11532181. The reversal of 11532180 is 8123511.

It is an interprime number because it is at equal distance from previous prime (11532179) and next prime (11532181).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66574 + ... + 66746.

It is an arithmetic number, because the mean of its divisors is an integer number (372708).

Almost surely, 2^11532180 is an apocalyptic number.

11532180 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 11532180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889984).

11532180 is an abundant number, since it is smaller than the sum of its proper divisors (24247788).

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

11532180 is a wasteful number, since it uses less digits than its factorization.

11532180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11532180 is about 3395.9063591330. The cubic root of 11532180 is about 225.9282148600.

Adding to 11532180 its reverse (8123511), we get a palindrome (19655691).

It can be divided in two parts, 1153 and 2180, that added together give a palindrome (3333).

The spelling of 11532180 in words is "eleven million, five hundred thirty-two thousand, one hundred eighty".