668080 has 40 divisors (see below), whose sum is σ = 1776672. Its totient is φ = 228864.

The previous prime is 668069. The next prime is 668089. The reversal of 668080 is 80866.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (668089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 1156.

2⁶⁶⁸⁰⁸⁰ 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 668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888336).

668080 is an abundant number, since it is smaller than the sum of its proper divisors (1108592).

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

668080 is a wasteful number, since it uses less digits than its factorization.

668080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 668080 is about 817.3616090813. The cubic root of 668080 is about 87.4197359198.

It can be divided in two parts, 6 and 68080, that added together give a palindrome (68086).

The spelling of 668080 in words is "six hundred sixty-eight thousand, eighty".