66168500 has 48 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 26007200.

The previous prime is 66168499. The next prime is 66168533. The reversal of 66168500 is 586166.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28379 + ... + 30621.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^66168500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66168500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

66168500 is an abundant number, since it is smaller than the sum of its proper divisors (80858380).

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

66168500 is a wasteful number, since it uses less digits than its factorization.

66168500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 66168500 is about 8134.4022521633. The cubic root of 66168500 is about 404.4676234105.

The spelling of 66168500 in words is "sixty-six million, one hundred sixty-eight thousand, five hundred".