1668600 has 120 divisors (see below), whose sum is σ = 5851560. Its totient is φ = 440640.

The previous prime is 1668593. The next prime is 1668617. The reversal of 1668600 is 68661.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16149 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (48763).

2^1668600 is an apocalyptic number.

1668600 is a gapful number since it is divisible by the number (10) 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 1668600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925780).

1668600 is an abundant number, since it is smaller than the sum of its proper divisors (4182960).

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

1668600 is a wasteful number, since it uses less digits than its factorization.

1668600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1668600 is about 1291.7430084967. The cubic root of 1668600 is about 118.6089368372.

The spelling of 1668600 in words is "one million, six hundred sixty-eight thousand, six hundred".