11138160 has 80 divisors (see below), whose sum is σ = 37676160. Its totient is φ = 2699520.

The previous prime is 11138159. The next prime is 11138167. The reversal of 11138160 is 6183111.

11138160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 4749.

It is an arithmetic number, because the mean of its divisors is an integer number (470952).

Almost surely, 2^11138160 is an apocalyptic number.

11138160 is a gapful number since it is divisible by the number (10) 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 11138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838080).

11138160 is an abundant number, since it is smaller than the sum of its proper divisors (26538000).

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

11138160 is a wasteful number, since it uses less digits than its factorization.

11138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 11138160 is about 3337.3882003747. The cubic root of 11138160 is about 223.3252441317.

The spelling of 11138160 in words is "eleven million, one hundred thirty-eight thousand, one hundred sixty".