66938832 has 80 divisors (see below), whose sum is σ = 200522880. Its totient is φ = 21339648.

The previous prime is 66938821. The next prime is 66938869. The reversal of 66938832 is 23883966.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6568 + ... + 13304.

It is an arithmetic number, because the mean of its divisors is an integer number (2506536).

Almost surely, 2^66938832 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 66938832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100261440).

66938832 is an abundant number, since it is smaller than the sum of its proper divisors (133584048).

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

66938832 is a wasteful number, since it uses less digits than its factorization.

66938832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6765 counting only the distinct ones).

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

The square root of 66938832 is about 8181.6154883984. The cubic root of 66938832 is about 406.0311720264.

The spelling of 66938832 in words is "sixty-six million, nine hundred thirty-eight thousand, eight hundred thirty-two".