168987672 has 144 divisors (see below), whose sum is σ = 560640600. Its totient is φ = 45722880.

The previous prime is 168987659. The next prime is 168987697. The reversal of 168987672 is 276789861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65772 + ... + 68292.

Almost surely, 2^168987672 is an apocalyptic number.

168987672 is a gapful number since it is divisible by the number (12) 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 168987672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280320300).

168987672 is an abundant number, since it is smaller than the sum of its proper divisors (391652928).

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

168987672 is a wasteful number, since it uses less digits than its factorization.

168987672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2552 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 168987672 is about 12999.5258375065. The cubic root of 168987672 is about 552.8640375033.

The spelling of 168987672 in words is "one hundred sixty-eight million, nine hundred eighty-seven thousand, six hundred seventy-two".