66877900 has 72 divisors (see below), whose sum is σ = 150934784. Its totient is φ = 25704000.

The previous prime is 66877897. The next prime is 66877901. The reversal of 66877900 is 977866.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (66877901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442825 + ... + 442975.

Almost surely, 2^66877900 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 66877900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75467392).

66877900 is an abundant number, since it is smaller than the sum of its proper divisors (84056884).

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

66877900 is a wasteful number, since it uses less digits than its factorization.

66877900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 66877900 is about 8177.8909261496. The cubic root of 66877900 is about 405.9079361250.

The spelling of 66877900 in words is "sixty-six million, eight hundred seventy-seven thousand, nine hundred".