11913216 has 96 divisors (see below), whose sum is σ = 36429120. Its totient is φ = 3391488.

The previous prime is 11913197. The next prime is 11913217. The reversal of 11913216 is 61231911.

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 not an unprimeable number, because it can be changed into a prime (11913217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42870 + ... + 43146.

It is an arithmetic number, because the mean of its divisors is an integer number (379470).

Almost surely, 2^11913216 is an apocalyptic number.

11913216 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 11913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214560).

11913216 is an abundant number, since it is smaller than the sum of its proper divisors (24515904).

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

11913216 is an equidigital number, since it uses as much as digits as its factorization.

11913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 11913216 is about 3451.5526940784. The cubic root of 11913216 is about 228.3896077871.

The spelling of 11913216 in words is "eleven million, nine hundred thirteen thousand, two hundred sixteen".