66938328 has 48 divisors (see below), whose sum is σ = 186198480. Its totient is φ = 21708864.

The previous prime is 66938327. The next prime is 66938329. The reversal of 66938328 is 82383966.

It is an interprime number because it is at equal distance from previous prime (66938327) and next prime (66938329).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66938323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9900 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (3879135).

Almost surely, 2^66938328 is an apocalyptic number.

It is an amenable number.

66938328 is an abundant number, since it is smaller than the sum of its proper divisors (119260152).

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

66938328 is a wasteful number, since it uses less digits than its factorization.

66938328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25176 (or 25169 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 66938328 is about 8181.5846875773. The cubic root of 66938328 is about 406.0301529855.

The spelling of 66938328 in words is "sixty-six million, nine hundred thirty-eight thousand, three hundred twenty-eight".