980168 has 32 divisors (see below), whose sum is σ = 2194560. Its totient is φ = 401280.

The previous prime is 980159. The next prime is 980173. The reversal of 980168 is 861089.

980168 = T₃₄₂ + T₃₄₃ + ... + T₃₅₇.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 5.

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 7 ways as a sum of consecutive naturals, for example, 908 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2⁹⁸⁰¹⁶⁸ 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 980168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280).

980168 is an abundant number, since it is smaller than the sum of its proper divisors (1214392).

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

980168 is a wasteful number, since it uses less digits than its factorization.

980168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 980168 is about 990.0343428387. The cubic root of 980168 is about 99.3345144473.

The spelling of 980168 in words is "nine hundred eighty thousand, one hundred sixty-eight".