11538816 has 64 divisors (see below), whose sum is σ = 31008000. Its totient is φ = 3801600.

The previous prime is 11538811. The next prime is 11538817. The reversal of 11538816 is 61883511.

11538816 = T₃₁₃ + T₃₁₄ + ... + T₄₆₃.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11538811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57885 + ... + 58083.

It is an arithmetic number, because the mean of its divisors is an integer number (484500).

Almost surely, 2^11538816 is an apocalyptic number.

11538816 is a gapful number since it is divisible by the number (16) 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 11538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504000).

11538816 is an abundant number, since it is smaller than the sum of its proper divisors (19469184).

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

11538816 is a wasteful number, since it uses less digits than its factorization.

11538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 11538816 is about 3396.8832773588. The cubic root of 11538816 is about 225.9715420872.

The spelling of 11538816 in words is "eleven million, five hundred thirty-eight thousand, eight hundred sixteen".