11473824 has 48 divisors (see below), whose sum is σ = 30427488. Its totient is φ = 3785472.

The previous prime is 11473823. The next prime is 11473841. The reversal of 11473824 is 42837411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11473791 and 11473800.

It is not an unprimeable number, because it can be changed into a prime (11473823) 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 7 ways as a sum of consecutive naturals, for example, 9714 + ... + 10830.

It is an arithmetic number, because the mean of its divisors is an integer number (633906).

Almost surely, 2^11473824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213744).

11473824 is an abundant number, since it is smaller than the sum of its proper divisors (18953664).

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

11473824 is a wasteful number, since it uses less digits than its factorization.

11473824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 11473824 is about 3387.3033522258. The cubic root of 11473824 is about 225.5464839612.

The spelling of 11473824 in words is "eleven million, four hundred seventy-three thousand, eight hundred twenty-four".