1338160 has 40 divisors (see below), whose sum is σ = 3191760. Its totient is φ = 521472.

The previous prime is 1338109. The next prime is 1338167. The reversal of 1338160 is 618331.

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

It is not an unprimeable number, because it can be changed into a prime (1338167) 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, 3246 + ... + 3634.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

2^1338160 is an apocalyptic number.

1338160 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 1338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595880).

1338160 is an abundant number, since it is smaller than the sum of its proper divisors (1853600).

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

1338160 is a wasteful number, since it uses less digits than its factorization.

1338160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1338160 is about 1156.7886583123. The cubic root of 1338160 is about 110.1968925445.

The spelling of 1338160 in words is "one million, three hundred thirty-eight thousand, one hundred sixty".