1668028560 has 240 divisors, whose sum is σ = 5770880640. Its totient is φ = 398182400.

The previous prime is 1668028553. The next prime is 1668028603. The reversal of 1668028560 is 658208661.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061436 + ... + 2062244.

It is an arithmetic number, because the mean of its divisors is an integer number (24045336).

Almost surely, 2^1668028560 is an apocalyptic number.

1668028560 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 1668028560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885440320).

1668028560 is an abundant number, since it is smaller than the sum of its proper divisors (4102852080).

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

1668028560 is a wasteful number, since it uses less digits than its factorization.

1668028560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1668028560 is about 40841.5053591319. The cubic root of 1668028560 is about 1185.9539541930.

The spelling of 1668028560 in words is "one billion, six hundred sixty-eight million, twenty-eight thousand, five hundred sixty".