11356416 has 144 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 3594240.

The previous prime is 11356409. The next prime is 11356417. The reversal of 11356416 is 61465311.

11356416 is a `hidden beast` number, since 1 + 13 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11356416.

It is not an unprimeable number, because it can be changed into a prime (11356417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214246 + ... + 214298.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 2^11356416 is an apocalyptic number.

11356416 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 11356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

11356416 is an abundant number, since it is smaller than the sum of its proper divisors (23963904).

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

11356416 is an equidigital number, since it uses as much as digits as its factorization.

11356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 11356416 is about 3369.9281891459. The cubic root of 11356416 is about 224.7745296894.

The spelling of 11356416 in words is "eleven million, three hundred fifty-six thousand, four hundred sixteen".