66273984 has 112 divisors (see below), whose sum is σ = 222707200. Its totient is φ = 18931968.

The previous prime is 66273953. The next prime is 66273997. The reversal of 66273984 is 48937266.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 9357 + ... + 14835.

Almost surely, 2^66273984 is an apocalyptic number.

66273984 is a gapful number since it is divisible by the number (64) 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 66273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111353600).

66273984 is an abundant number, since it is smaller than the sum of its proper divisors (156433216).

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

66273984 is a wasteful number, since it uses less digits than its factorization.

66273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5491 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 66273984 is about 8140.8834901379. The cubic root of 66273984 is about 404.6824396807.

The spelling of 66273984 in words is "sixty-six million, two hundred seventy-three thousand, nine hundred eighty-four".