11538408 has 64 divisors (see below), whose sum is σ = 33240960. Its totient is φ = 3269376.

The previous prime is 11538403. The next prime is 11538409. The reversal of 11538408 is 80483511.

It is a super-4 number, since 4×11538408⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11538403) 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 15 ways as a sum of consecutive naturals, for example, 28866 + ... + 29262.

It is an arithmetic number, because the mean of its divisors is an integer number (519390).

Almost surely, 2^11538408 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 11538408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620480).

11538408 is an abundant number, since it is smaller than the sum of its proper divisors (21702552).

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

11538408 is a wasteful number, since it uses less digits than its factorization.

11538408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 11538408 is about 3396.8232217765. The cubic root of 11538408 is about 225.9688786864.

The spelling of 11538408 in words is "eleven million, five hundred thirty-eight thousand, four hundred eight".