11616120 has 96 divisors (see below), whose sum is σ = 38722320. Its totient is φ = 3018240.

The previous prime is 11616119. The next prime is 11616131. The reversal of 11616120 is 2161611.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11616093 and 11616102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14367 + ... + 15153.

Almost surely, 2^11616120 is an apocalyptic number.

11616120 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 11616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361160).

11616120 is an abundant number, since it is smaller than the sum of its proper divisors (27106200).

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

11616120 is a wasteful number, since it uses less digits than its factorization.

11616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11616120 is about 3408.2429490868. The cubic root of 11616120 is about 226.4750495154.

Adding to 11616120 its reverse (2161611), we get a palindrome (13777731).

The spelling of 11616120 in words is "eleven million, six hundred sixteen thousand, one hundred twenty".