11820480 has 112 divisors (see below), whose sum is σ = 42915840. Its totient is φ = 2700288.

The previous prime is 11820469. The next prime is 11820481. The reversal of 11820480 is 8402811.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11820480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11820481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5841 + ... + 7599.

Almost surely, 2^11820480 is an apocalyptic number.

11820480 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 11820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457920).

11820480 is an abundant number, since it is smaller than the sum of its proper divisors (31095360).

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

11820480 is a wasteful number, since it uses less digits than its factorization.

11820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11820480 is about 3438.0924943928. The cubic root of 11820480 is about 227.7954459602.

The spelling of 11820480 in words is "eleven million, eight hundred twenty thousand, four hundred eighty".