168587672 has 64 divisors (see below), whose sum is σ = 368409600. Its totient is φ = 71568000.

The previous prime is 168587663. The next prime is 168587681. The reversal of 168587672 is 276785861.

It is an interprime number because it is at equal distance from previous prime (168587663) and next prime (168587681).

It is a self number, because there is not a number n which added to its sum of digits gives 168587672.

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 15 ways as a sum of consecutive naturals, for example, 78047 + ... + 80177.

It is an arithmetic number, because the mean of its divisors is an integer number (5756400).

Almost surely, 2^168587672 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 168587672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184204800).

168587672 is an abundant number, since it is smaller than the sum of its proper divisors (199821928).

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

168587672 is a wasteful number, since it uses less digits than its factorization.

168587672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2204 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 168587672 is about 12984.1315458524. The cubic root of 168587672 is about 552.4274764044.

The spelling of 168587672 in words is "one hundred sixty-eight million, five hundred eighty-seven thousand, six hundred seventy-two".