11618880 has 336 divisors, whose sum is σ = 48646080. Its totient is φ = 2322432.

The previous prime is 11618843. The next prime is 11618881. The reversal of 11618880 is 8881611.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11618881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611511 + ... + 611529.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 2^11618880 is an apocalyptic number.

11618880 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 11618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323040).

11618880 is an abundant number, since it is smaller than the sum of its proper divisors (37027200).

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

11618880 is a wasteful number, since it uses less digits than its factorization.

11618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 11618880 is about 3408.6478257514. The cubic root of 11618880 is about 226.4929849832.

The spelling of 11618880 in words is "eleven million, six hundred eighteen thousand, eight hundred eighty".