11871816 has 64 divisors (see below), whose sum is σ = 32685120. Its totient is φ = 3563520.

The previous prime is 11871793. The next prime is 11871823. The reversal of 11871816 is 61817811.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50836 + ... + 51068.

It is an arithmetic number, because the mean of its divisors is an integer number (510705).

Almost surely, 2^11871816 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 11871816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342560).

11871816 is an abundant number, since it is smaller than the sum of its proper divisors (20813304).

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

11871816 is a wasteful number, since it uses less digits than its factorization.

11871816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 2688, while the sum is 33.

The square root of 11871816 is about 3445.5501737749. The cubic root of 11871816 is about 228.1247393754.

It can be divided in two parts, 1187 and 1816, that added together give a palindrome (3003).

The spelling of 11871816 in words is "eleven million, eight hundred seventy-one thousand, eight hundred sixteen".