487168 has 36 divisors (see below), whose sum is σ = 1066968. Its totient is φ = 220160.

The previous prime is 487133. The next prime is 487177. The reversal of 487168 is 861784.

487168 = T₈₇ + T₈₈ + ... + T₁₅₂.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

487168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2730 + ... + 2902.

It is an arithmetic number, because the mean of its divisors is an integer number (29638).

2⁴⁸⁷¹⁶⁸ 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 487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533484).

487168 is an abundant number, since it is smaller than the sum of its proper divisors (579800).

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

487168 is a wasteful number, since it uses less digits than its factorization.

487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 487168 is about 697.9742115580. The cubic root of 487168 is about 78.6851755102.

The spelling of 487168 in words is "four hundred eighty-seven thousand, one hundred sixty-eight".