66887100 has 144 divisors (see below), whose sum is σ = 245817600. Its totient is φ = 15284160.

The previous prime is 66887069. The next prime is 66887101. The reversal of 66887100 is 178866.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66887101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17131 + ... + 20669.

Almost surely, 2^66887100 is an apocalyptic number.

66887100 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 66887100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122908800).

66887100 is an abundant number, since it is smaller than the sum of its proper divisors (178930500).

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

66887100 is a wasteful number, since it uses less digits than its factorization.

66887100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 66887100 is about 8178.4533990236. The cubic root of 66887100 is about 405.9265480620.

The spelling of 66887100 in words is "sixty-six million, eight hundred eighty-seven thousand, one hundred".