11823840 has 384 divisors, whose sum is σ = 52254720. Its totient is φ = 2433024.

The previous prime is 11823829. The next prime is 11823841. The reversal of 11823840 is 4832811.

11823840 is nontrivially palindromic in base 11.

It is a super-3 number, since 3×11823840³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11823841) 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 63 ways as a sum of consecutive naturals, for example, 514069 + ... + 514091.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^11823840 is an apocalyptic number.

11823840 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 11823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

11823840 is an abundant number, since it is smaller than the sum of its proper divisors (40430880).

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

11823840 is a wasteful number, since it uses less digits than its factorization.

11823840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11823840 is about 3438.5811027225. The cubic root of 11823840 is about 227.8170277174.

The spelling of 11823840 in words is "eleven million, eight hundred twenty-three thousand, eight hundred forty".