11484880 has 80 divisors (see below), whose sum is σ = 30140928. Its totient is φ = 4032000.

The previous prime is 11484859. The next prime is 11484883. The reversal of 11484880 is 8848411.

It is a happy number.

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

It is a super-2 number, since 2×11484880² = 263804937228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11484883) 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, 27070 + ... + 27490.

Almost surely, 2^11484880 is an apocalyptic number.

11484880 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 11484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070464).

11484880 is an abundant number, since it is smaller than the sum of its proper divisors (18656048).

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

11484880 is a wasteful number, since it uses less digits than its factorization.

11484880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 11484880 is about 3388.9349359349. The cubic root of 11484880 is about 225.6189050770.

The spelling of 11484880 in words is "eleven million, four hundred eighty-four thousand, eight hundred eighty".