11144880 has 120 divisors (see below), whose sum is σ = 39113568. Its totient is φ = 2838528.

The previous prime is 11144879. The next prime is 11144891. The reversal of 11144880 is 8844111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-5 number, since 5×11144880⁵ (a number of 36 digits) contains 55555 as substring.

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, 16224 + ... + 16896.

Almost surely, 2^11144880 is an apocalyptic number.

11144880 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 11144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556784).

11144880 is an abundant number, since it is smaller than the sum of its proper divisors (27968688).

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

11144880 is a wasteful number, since it uses less digits than its factorization.

11144880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11144880 is about 3338.3948238637. The cubic root of 11144880 is about 223.3701481351.

Adding to 11144880 its reverse (8844111), we get a palindrome (19988991).

The spelling of 11144880 in words is "eleven million, one hundred forty-four thousand, eight hundred eighty".