1668260160 has 336 divisors, whose sum is σ = 6643518336. Its totient is φ = 376344576.

The previous prime is 1668260137. The next prime is 1668260213. The reversal of 1668260160 is 610628661.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1668260160² = 5566183922886451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1672782 + ... + 1673778.

It is an arithmetic number, because the mean of its divisors is an integer number (19772376).

Almost surely, 2^1668260160 is an apocalyptic number.

1668260160 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 1668260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321759168).

1668260160 is an abundant number, since it is smaller than the sum of its proper divisors (4975258176).

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

1668260160 is a wasteful number, since it uses less digits than its factorization.

1668260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1668260160 is about 40844.3406116441. The cubic root of 1668260160 is about 1186.0088401886.

The spelling of 1668260160 in words is "one billion, six hundred sixty-eight million, two hundred sixty thousand, one hundred sixty".