11504880 has 180 divisors, whose sum is σ = 42121560. Its totient is φ = 2806272.

The previous prime is 11504863. The next prime is 11504893. The reversal of 11504880 is 8840511.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396706 + ... + 396734.

Almost surely, 2^11504880 is an apocalyptic number.

11504880 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 11504880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060780).

11504880 is an abundant number, since it is smaller than the sum of its proper divisors (30616680).

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

11504880 is a wasteful number, since it uses less digits than its factorization.

11504880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11504880 is about 3391.8844319935. The cubic root of 11504880 is about 225.7497948880.

The spelling of 11504880 in words is "eleven million, five hundred four thousand, eight hundred eighty".