11733216 has 96 divisors (see below), whose sum is σ = 34546176. Its totient is φ = 3456000.

The previous prime is 11733209. The next prime is 11733223. The reversal of 11733216 is 61233711.

It is an interprime number because it is at equal distance from previous prime (11733209) and next prime (11733223).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 43161 + ... + 43431.

It is an arithmetic number, because the mean of its divisors is an integer number (359856).

Almost surely, 2^11733216 is an apocalyptic number.

11733216 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 11733216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273088).

11733216 is an abundant number, since it is smaller than the sum of its proper divisors (22812960).

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

11733216 is a wasteful number, since it uses less digits than its factorization.

11733216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 11733216 is about 3425.3782272911. The cubic root of 11733216 is about 227.2334986645.

11733216 divided by its sum of digits (24) gives a palindrome (488884).

Adding to 11733216 its reverse (61233711), we get a palindrome (72966927).

It can be divided in two parts, 117 and 33216, that added together give a palindrome (33333).

The spelling of 11733216 in words is "eleven million, seven hundred thirty-three thousand, two hundred sixteen".