66386700 has 108 divisors (see below), whose sum is σ = 220376520. Its totient is φ = 16657920.

The previous prime is 66386699. The next prime is 66386707. The reversal of 66386700 is 768366.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (66386707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13131 + ... + 17469.

Almost surely, 2^66386700 is an apocalyptic number.

66386700 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 66386700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110188260).

66386700 is an abundant number, since it is smaller than the sum of its proper divisors (153989820).

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

66386700 is a wasteful number, since it uses less digits than its factorization.

66386700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66386700 is about 8147.8033849621. The cubic root of 66386700 is about 404.9117320212.

The spelling of 66386700 in words is "sixty-six million, three hundred eighty-six thousand, seven hundred".