1607168 has 40 divisors (see below), whose sum is σ = 3330888. Its totient is φ = 774144.

The previous prime is 1607149. The next prime is 1607173. The reversal of 1607168 is 8617061.

It is a self number, because there is not a number n which added to its sum of digits gives 1607168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21980 + ... + 22052.

2^1607168 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 1607168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665444).

1607168 is an abundant number, since it is smaller than the sum of its proper divisors (1723720).

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

1607168 is an frugal number, since it uses more digits than its factorization.

1607168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1607168 is about 1267.7412985306. The cubic root of 1607168 is about 117.1351106744.

The spelling of 1607168 in words is "one million, six hundred seven thousand, one hundred sixty-eight".