11364816 has 40 divisors (see below), whose sum is σ = 29864160. Its totient is φ = 3723136.

The previous prime is 11364739. The next prime is 11364853. The reversal of 11364816 is 61846311.

11364816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826 + ... + 4838.

It is an arithmetic number, because the mean of its divisors is an integer number (746604).

Almost surely, 2^11364816 is an apocalyptic number.

11364816 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 11364816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932080).

11364816 is an abundant number, since it is smaller than the sum of its proper divisors (18499344).

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

11364816 is a wasteful number, since it uses less digits than its factorization.

11364816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4077 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11364816 is about 3371.1742761240. The cubic root of 11364816 is about 224.8299356883.

The spelling of 11364816 in words is "eleven million, three hundred sixty-four thousand, eight hundred sixteen".