1660968000 has 672 divisors, whose sum is σ = 6675851520. Its totient is φ = 391987200.

The previous prime is 1660967993. The next prime is 1660968013. The reversal of 1660968000 is 8690661.

1660968000 = 10³ + 11³ + ... + 285³.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28151971 + ... + 28152029.

Almost surely, 2^1660968000 is an apocalyptic number.

1660968000 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 1660968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337925760).

1660968000 is an abundant number, since it is smaller than the sum of its proper divisors (5014883520).

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

1660968000 is a wasteful number, since it uses less digits than its factorization.

1660968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1660968000 is about 40754.9751564150. The cubic root of 1660968000 is about 1184.2782551516.

The spelling of 1660968000 in words is "one billion, six hundred sixty million, nine hundred sixty-eight thousand".