11548880 has 80 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 3855360.

The previous prime is 11548879. The next prime is 11548883. The reversal of 11548880 is 8884511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11548880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11548883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22709 + ... + 23211.

Almost surely, 2^11548880 is an apocalyptic number.

11548880 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 11548880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

11548880 is an abundant number, since it is smaller than the sum of its proper divisors (19949104).

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

11548880 is a wasteful number, since it uses less digits than its factorization.

11548880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 11548880 is about 3398.3643124303. The cubic root of 11548880 is about 226.0372194424.

The spelling of 11548880 in words is "eleven million, five hundred forty-eight thousand, eight hundred eighty".