11616320 has 56 divisors (see below), whose sum is σ = 28578048. Its totient is φ = 4492800.

The previous prime is 11616317. The next prime is 11616323. The reversal of 11616320 is 2361611.

It is an interprime number because it is at equal distance from previous prime (11616317) and next prime (11616323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11616292 and 11616301.

It is not an unprimeable number, because it can be changed into a prime (11616323) 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, 9335 + ... + 10505.

Almost surely, 2^11616320 is an apocalyptic number.

11616320 is a gapful number since it is divisible by the number (10) 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 11616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289024).

11616320 is an abundant number, since it is smaller than the sum of its proper divisors (16961728).

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

11616320 is a wasteful number, since it uses less digits than its factorization.

11616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 11616320 is about 3408.2722895919. The cubic root of 11616320 is about 226.4763492825.

Adding to 11616320 its reverse (2361611), we get a palindrome (13977931).

The spelling of 11616320 in words is "eleven million, six hundred sixteen thousand, three hundred twenty".