667888900 has 72 divisors (see below), whose sum is σ = 1694960960. Its totient is φ = 223655040.

The previous prime is 667888883. The next prime is 667888901. The reversal of 667888900 is 9888766.

667888900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (667888901) 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, 19006 + ... + 41194.

Almost surely, 2^667888900 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 667888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847480480).

667888900 is an abundant number, since it is smaller than the sum of its proper divisors (1027072060).

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

667888900 is a wasteful number, since it uses less digits than its factorization.

667888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22253 (or 22246 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The square root of 667888900 is about 25843.5465832381. The cubic root of 667888900 is about 874.1139983994.

The spelling of 667888900 in words is "six hundred sixty-seven million, eight hundred eighty-eight thousand, nine hundred".