668460 has 48 divisors (see below), whose sum is σ = 2018016. Its totient is φ = 164352.

The previous prime is 668417. The next prime is 668471. The reversal of 668460 is 64866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (42042).

2⁶⁶⁸⁴⁶⁰ is an apocalyptic number.

668460 is a gapful number since it is divisible by the number (60) 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 668460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009008).

668460 is an abundant number, since it is smaller than the sum of its proper divisors (1349556).

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

668460 is a wasteful number, since it uses less digits than its factorization.

668460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 668460 is about 817.5940312894. The cubic root of 668460 is about 87.4363073899.

It can be divided in two parts, 668 and 460, that added together give a triangular number (1128 = T₄₇).

The spelling of 668460 in words is "six hundred sixty-eight thousand, four hundred sixty".