66187128 has 64 divisors (see below), whose sum is σ = 190344960. Its totient is φ = 18786816.

The previous prime is 66187111. The next prime is 66187157. The reversal of 66187128 is 82178166.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26176 + ... + 28592.

It is an arithmetic number, because the mean of its divisors is an integer number (2974140).

Almost surely, 2^66187128 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 66187128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95172480).

66187128 is an abundant number, since it is smaller than the sum of its proper divisors (124157832).

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

66187128 is a wasteful number, since it uses less digits than its factorization.

66187128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2592 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 66187128 is about 8135.5471850392. The cubic root of 66187128 is about 404.5055755879.

The spelling of 66187128 in words is "sixty-six million, one hundred eighty-seven thousand, one hundred twenty-eight".