11864816 has 40 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 5434560.

The previous prime is 11864813. The next prime is 11864819. The reversal of 11864816 is 61846811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11864813) and next prime (11864819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11864813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8795 + ... + 10053.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^11864816 is an apocalyptic number.

11864816 is a gapful number since it is divisible by the number (16) 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 11864816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

11864816 is an abundant number, since it is smaller than the sum of its proper divisors (13133584).

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

11864816 is a wasteful number, since it uses less digits than its factorization.

11864816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its digits is 9216, while the sum is 35.

The square root of 11864816 is about 3444.5342210522. The cubic root of 11864816 is about 228.0798940282.

The spelling of 11864816 in words is "eleven million, eight hundred sixty-four thousand, eight hundred sixteen".