11521824 has 48 divisors (see below), whose sum is σ = 30427488. Its totient is φ = 3817472.

The previous prime is 11521823. The next prime is 11521859. The reversal of 11521824 is 42812511.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 11521794 and 11521803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11521823) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24439 + ... + 24905.

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

Almost surely, 2^11521824 is an apocalyptic number.

It is an amenable number.

11521824 is an abundant number, since it is smaller than the sum of its proper divisors (18905664).

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

11521824 is a wasteful number, since it uses less digits than its factorization.

11521824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 11521824 is about 3394.3812396371. The cubic root of 11521824 is about 225.8605660921.

The spelling of 11521824 in words is "eleven million, five hundred twenty-one thousand, eight hundred twenty-four".