11824416 has 36 divisors (see below), whose sum is σ = 33626502. Its totient is φ = 3941376.

The previous prime is 11824409. The next prime is 11824427. The reversal of 11824416 is 61442811.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11532816 + 291600 = 3396^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11824416.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20241 + ... + 20816.

Almost surely, 2^11824416 is an apocalyptic number.

11824416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11824416 is an abundant number, since it is smaller than the sum of its proper divisors (21802086).

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

11824416 is a wasteful number, since it uses less digits than its factorization.

11824416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41073 (or 41062 counting only the distinct ones).

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

The square root of 11824416 is about 3438.6648571793. The cubic root of 11824416 is about 227.8207270367.

The spelling of 11824416 in words is "eleven million, eight hundred twenty-four thousand, four hundred sixteen".