11541816 has 192 divisors, whose sum is σ = 39312000. Its totient is φ = 3006720.

The previous prime is 11541809. The next prime is 11541823. The reversal of 11541816 is 61814511.

It is an interprime number because it is at equal distance from previous prime (11541809) and next prime (11541823).

It is a self number, because there is not a number n which added to its sum of digits gives 11541816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195595 + ... + 195653.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

It is a vampire number, since it can be written as 1416 ⋅ 8151 (with its own digits).

Almost surely, 2^11541816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11541816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

11541816 is an abundant number, since it is smaller than the sum of its proper divisors (27770184).

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

11541816 is a wasteful number, since it uses less digits than its factorization.

11541816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 11541816 is about 3397.3248299213. The cubic root of 11541816 is about 225.9911239890.

The spelling of 11541816 in words is "eleven million, five hundred forty-one thousand, eight hundred sixteen".