66837248 has 36 divisors (see below), whose sum is σ = 134499288. Its totient is φ = 33146880.

The previous prime is 66837247. The next prime is 66837283. The reversal of 66837248 is 84273866.

It is a junction number, because it is equal to n+sod(n) for n = 66837199 and 66837208.

It is not an unprimeable number, because it can be changed into a prime (66837247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32540 + ... + 34532.

Almost surely, 2^66837248 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 66837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67249644).

66837248 is an abundant number, since it is smaller than the sum of its proper divisors (67662040).

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

66837248 is a wasteful number, since it uses less digits than its factorization.

66837248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2126 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 66837248 is about 8175.4050664172. The cubic root of 66837248 is about 405.8256751990.

It can be divided in two parts, 6683 and 7248, that added together give a palindrome (13931).

The spelling of 66837248 in words is "sixty-six million, eight hundred thirty-seven thousand, two hundred forty-eight".