66168300 has 72 divisors (see below), whose sum is σ = 208861632. Its totient is φ = 16040000.

The previous prime is 66168299. The next prime is 66168307. The reversal of 66168300 is 386166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66168307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6726 + ... + 13325.

It is an arithmetic number, because the mean of its divisors is an integer number (2900856).

Almost surely, 2^66168300 is an apocalyptic number.

66168300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66168300 is an abundant number, since it is smaller than the sum of its proper divisors (142693332).

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

66168300 is a wasteful number, since it uses less digits than its factorization.

66168300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20079 (or 20072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66168300 is about 8134.3899586877. The cubic root of 66168300 is about 404.4672158973.

The spelling of 66168300 in words is "sixty-six million, one hundred sixty-eight thousand, three hundred".