11838320 has 40 divisors (see below), whose sum is σ = 29643936. Its totient is φ = 4370688.

The previous prime is 11838317. The next prime is 11838329. The reversal of 11838320 is 2383811.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11838320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838329) 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 7 ways as a sum of consecutive naturals, for example, 4652 + ... + 6731.

Almost surely, 2^11838320 is an apocalyptic number.

11838320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11838320 is an abundant number, since it is smaller than the sum of its proper divisors (17805616).

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

11838320 is a wasteful number, since it uses less digits than its factorization.

11838320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11409 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11838320 is about 3440.6859781154. The cubic root of 11838320 is about 227.9099880659.

The spelling of 11838320 in words is "eleven million, eight hundred thirty-eight thousand, three hundred twenty".