1386168 has 64 divisors (see below), whose sum is σ = 4085760. Its totient is φ = 383616.

The previous prime is 1386167. The next prime is 1386179. The reversal of 1386168 is 8616831.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386167) 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, 6105 + ... + 6327.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2^1386168 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 1386168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042880).

1386168 is an abundant number, since it is smaller than the sum of its proper divisors (2699592).

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

1386168 is a wasteful number, since it uses less digits than its factorization.

1386168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1386168 is about 1177.3563606657. The cubic root of 1386168 is about 111.4992526108.

The spelling of 1386168 in words is "one million, three hundred eighty-six thousand, one hundred sixty-eight".