11579616 has 72 divisors (see below), whose sum is σ = 34017984. Its totient is φ = 3732480.

The previous prime is 11579609. The next prime is 11579621. The reversal of 11579616 is 61697511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8280 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (472472).

Almost surely, 2^11579616 is an apocalyptic number.

11579616 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 11579616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008992).

11579616 is an abundant number, since it is smaller than the sum of its proper divisors (22438368).

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

11579616 is a wasteful number, since it uses less digits than its factorization.

11579616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1333 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 11579616 is about 3402.8834831654. The cubic root of 11579616 is about 226.2375657320.

The spelling of 11579616 in words is "eleven million, five hundred seventy-nine thousand, six hundred sixteen".