66311232 has 112 divisors (see below), whose sum is σ = 195267072. Its totient is φ = 19722240.

The previous prime is 66311207. The next prime is 66311239. The reversal of 66311232 is 23211366.

It is a happy number.

66311232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (66311239) 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 15 ways as a sum of consecutive naturals, for example, 76948 + ... + 77804.

It is an arithmetic number, because the mean of its divisors is an integer number (1743456).

Almost surely, 2^66311232 is an apocalyptic number.

66311232 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 66311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97633536).

66311232 is an abundant number, since it is smaller than the sum of its proper divisors (128955840).

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

66311232 is a wasteful number, since it uses less digits than its factorization.

66311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 66311232 is about 8143.1708811740. The cubic root of 66311232 is about 404.7582401057.

Adding to 66311232 its reverse (23211366), we get a palindrome (89522598).

The spelling of 66311232 in words is "sixty-six million, three hundred eleven thousand, two hundred thirty-two".