11577216 has 128 divisors (see below), whose sum is σ = 36230400. Its totient is φ = 3207168.

The previous prime is 11577199. The next prime is 11577239. The reversal of 11577216 is 61277511.

11577216 = T₃₂₃ + T₃₂₄ + ... + T₄₆₈.

It is a tau number, because it is divible by the number of its divisors (128).

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, 158556 + ... + 158628.

It is an arithmetic number, because the mean of its divisors is an integer number (283050).

Almost surely, 2^11577216 is an apocalyptic number.

11577216 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 11577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115200).

11577216 is an abundant number, since it is smaller than the sum of its proper divisors (24653184).

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

11577216 is an equidigital number, since it uses as much as digits as its factorization.

11577216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 2940, while the sum is 30.

The square root of 11577216 is about 3402.5308227847. The cubic root of 11577216 is about 226.2219345955.

The spelling of 11577216 in words is "eleven million, five hundred seventy-seven thousand, two hundred sixteen".