11824560 has 120 divisors (see below), whose sum is σ = 43349904. Its totient is φ = 2864640.

The previous prime is 11824529. The next prime is 11824567. The reversal of 11824560 is 6542811.

11824560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11824567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7174 + ... + 8666.

Almost surely, 2^11824560 is an apocalyptic number.

11824560 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 11824560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21674952).

11824560 is an abundant number, since it is smaller than the sum of its proper divisors (31525344).

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

11824560 is a wasteful number, since it uses less digits than its factorization.

11824560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11824560 is about 3438.6857954748. The cubic root of 11824560 is about 227.8216518477.

The spelling of 11824560 in words is "eleven million, eight hundred twenty-four thousand, five hundred sixty".