1138160 has 40 divisors (see below), whose sum is σ = 2718576. Its totient is φ = 442880.

The previous prime is 1138147. The next prime is 1138171. The reversal of 1138160 is 618311.

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 (20).

It is a congruent number.

It is an unprimeable number.

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, 3107 + ... + 3453.

2^1138160 is an apocalyptic number.

1138160 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 1138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359288).

1138160 is an abundant number, since it is smaller than the sum of its proper divisors (1580416).

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

1138160 is a wasteful number, since it uses less digits than its factorization.

1138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1138160 is about 1066.8458182887. The cubic root of 1138160 is about 104.4081593521.

The spelling of 1138160 in words is "one million, one hundred thirty-eight thousand, one hundred sixty".