66839472 has 240 divisors, whose sum is σ = 236413440. Its totient is φ = 17677440.

The previous prime is 66839467. The next prime is 66839483. The reversal of 66839472 is 27493866.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2156097 + ... + 2156127.

It is an arithmetic number, because the mean of its divisors is an integer number (985056).

Almost surely, 2^66839472 is an apocalyptic number.

66839472 is a gapful number since it is divisible by the number (62) 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 66839472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118206720).

66839472 is an abundant number, since it is smaller than the sum of its proper divisors (169573968).

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

66839472 is a wasteful number, since it uses less digits than its factorization.

66839472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

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

The square root of 66839472 is about 8175.5410830110. The cubic root of 66839472 is about 405.8301764132.

The spelling of 66839472 in words is "sixty-six million, eight hundred thirty-nine thousand, four hundred seventy-two".