11646880 has 48 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3992832.

The previous prime is 11646871. The next prime is 11646889. The reversal of 11646880 is 8864611.

11646880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11646871) and next prime (11646889).

It is not an unprimeable number, because it can be changed into a prime (11646889) 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, 4080 + ... + 6319.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^11646880 is an apocalyptic number.

11646880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11646880 is an abundant number, since it is smaller than the sum of its proper divisors (19802720).

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

11646880 is a wasteful number, since it uses less digits than its factorization.

11646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10421 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 11646880 is about 3412.7525547569. The cubic root of 11646880 is about 226.6747786409.

The spelling of 11646880 in words is "eleven million, six hundred forty-six thousand, eight hundred eighty".