66168000 has 168 divisors, whose sum is σ = 236951520. Its totient is φ = 17625600.

The previous prime is 66167993. The next prime is 66168019. The reversal of 66168000 is 86166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71541 + ... + 72459.

Almost surely, 2^66168000 is an apocalyptic number.

66168000 is a gapful number since it is divisible by the number (60) 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 66168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118475760).

66168000 is an abundant number, since it is smaller than the sum of its proper divisors (170783520).

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

66168000 is a wasteful number, since it uses less digits than its factorization.

66168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 929 counting only the distinct ones).

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

The square root of 66168000 is about 8134.3715184395. The cubic root of 66168000 is about 404.4666046260.

The spelling of 66168000 in words is "sixty-six million, one hundred sixty-eight thousand".