66893832 has 96 divisors (see below), whose sum is σ = 192909600. Its totient is φ = 20881152.

The previous prime is 66893809. The next prime is 66893839. The reversal of 66893832 is 23839866.

66893832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (66893839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146148 + ... + 146604.

It is an arithmetic number, because the mean of its divisors is an integer number (2009475).

Almost surely, 2^66893832 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 66893832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96454800).

66893832 is an abundant number, since it is smaller than the sum of its proper divisors (126015768).

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

66893832 is a wasteful number, since it uses less digits than its factorization.

66893832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

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

The square root of 66893832 is about 8178.8649579266. The cubic root of 66893832 is about 405.9401660633.

The spelling of 66893832 in words is "sixty-six million, eight hundred ninety-three thousand, eight hundred thirty-two".