668100 has 72 divisors (see below), whose sum is σ = 2062368. Its totient is φ = 166400.

The previous prime is 668093. The next prime is 668111. The reversal of 668100 is 1866.

668100 = T₁₈₁ + T₁₈₂ + ... + T₂₁₄.

It is a super-2 number, since 2×668100² = 892715220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

668100 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 23 ways as a sum of consecutive naturals, for example, 5035 + ... + 5165.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁶⁶⁸¹⁰⁰ is an apocalyptic number.

668100 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 668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184).

668100 is an abundant number, since it is smaller than the sum of its proper divisors (1394268).

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

668100 is a wasteful number, since it uses less digits than its factorization.

668100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 668100 is about 817.3738434768. The cubic root of 668100 is about 87.4206082591.

Adding to 668100 its reverse (1866), we get a palindrome (669966).

The spelling of 668100 in words is "six hundred sixty-eight thousand, one hundred".