1668971304 has 640 divisors, whose sum is σ = 6556999680. Its totient is φ = 382579200.

The previous prime is 1668971303. The next prime is 1668971351. The reversal of 1668971304 is 4031798661.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1668971304.

It is not an unprimeable number, because it can be changed into a prime (1668971303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20108047 + ... + 20108129.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312).

Almost surely, 2^1668971304 is an apocalyptic number.

1668971304 is a gapful number since it is divisible by the number (14) 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 1668971304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278499840).

1668971304 is an abundant number, since it is smaller than the sum of its proper divisors (4888028376).

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

1668971304 is a wasteful number, since it uses less digits than its factorization.

1668971304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1668971304 is about 40853.0452230920. The cubic root of 1668971304 is about 1186.1773397378.

The spelling of 1668971304 in words is "one billion, six hundred sixty-eight million, nine hundred seventy-one thousand, three hundred four".