11909216 has 48 divisors (see below), whose sum is σ = 26707968. Its totient is φ = 5174400.

The previous prime is 11909203. The next prime is 11909221. The reversal of 11909216 is 61290911.

It is a congruent number.

It is an unprimeable number.

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, 7361 + ... + 8831.

It is an arithmetic number, because the mean of its divisors is an integer number (556416).

Almost surely, 2^11909216 is an apocalyptic number.

11909216 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 11909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353984).

11909216 is an abundant number, since it is smaller than the sum of its proper divisors (14798752).

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

11909216 is a wasteful number, since it uses less digits than its factorization.

11909216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 11909216 is about 3450.9731960709. The cubic root of 11909216 is about 228.3640434419.

The spelling of 11909216 in words is "eleven million, nine hundred nine thousand, two hundred sixteen".