11813424 has 40 divisors (see below), whose sum is σ = 34878720. Its totient is φ = 3375168.

The previous prime is 11813401. The next prime is 11813437. The reversal of 11813424 is 42431811.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11813394 and 11813403.

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, 17244 + ... + 17915.

It is an arithmetic number, because the mean of its divisors is an integer number (871968).

Almost surely, 2^11813424 is an apocalyptic number.

11813424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11813424 is an abundant number, since it is smaller than the sum of its proper divisors (23065296).

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

11813424 is a wasteful number, since it uses less digits than its factorization.

11813424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35177 (or 35171 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 11813424 is about 3437.0661908087. The cubic root of 11813424 is about 227.7501109543.

The spelling of 11813424 in words is "eleven million, eight hundred thirteen thousand, four hundred twenty-four".