11877216 has 96 divisors (see below), whose sum is σ = 34771968. Its totient is φ = 3525120.

The previous prime is 11877209. The next prime is 11877241. The reversal of 11877216 is 61277811.

11877216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 38535 + ... + 38841.

It is an arithmetic number, because the mean of its divisors is an integer number (362208).

Almost surely, 2^11877216 is an apocalyptic number.

11877216 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 11877216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385984).

11877216 is an abundant number, since it is smaller than the sum of its proper divisors (22894752).

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

11877216 is a wasteful number, since it uses less digits than its factorization.

11877216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 11877216 is about 3446.3337040977. Note that the first 3 decimals coincide. The cubic root of 11877216 is about 228.1593223144.

The spelling of 11877216 in words is "eleven million, eight hundred seventy-seven thousand, two hundred sixteen".