1659168 has 72 divisors (see below), whose sum is σ = 5398848. Its totient is φ = 473472.

The previous prime is 1659131. The next prime is 1659169. The reversal of 1659168 is 8619561.

1659168 is a `hidden beast` number, since 1 + 6 + 591 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1659169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1605 + ... + 2427.

It is an arithmetic number, because the mean of its divisors is an integer number (74984).

2^1659168 is an apocalyptic number.

1659168 is a gapful number since it is divisible by the number (18) 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 1659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699424).

1659168 is an abundant number, since it is smaller than the sum of its proper divisors (3739680).

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

1659168 is a wasteful number, since it uses less digits than its factorization.

1659168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1659168 is about 1288.0869535866. The cubic root of 1659168 is about 118.3850297606.

The spelling of 1659168 in words is "one million, six hundred fifty-nine thousand, one hundred sixty-eight".