11523824 has 40 divisors (see below), whose sum is σ = 25467120. Its totient is φ = 5004288.

The previous prime is 11523781. The next prime is 11523833. The reversal of 11523824 is 42832511.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 11523793 and 11523802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1907 + ... + 5165.

It is an arithmetic number, because the mean of its divisors is an integer number (636678).

Almost surely, 2^11523824 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 11523824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733560).

11523824 is an abundant number, since it is smaller than the sum of its proper divisors (13943296).

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

11523824 is a wasteful number, since it uses less digits than its factorization.

11523824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3291 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 11523824 is about 3394.6758313571. The cubic root of 11523824 is about 225.8736339014.

The spelling of 11523824 in words is "eleven million, five hundred twenty-three thousand, eight hundred twenty-four".