66936240 has 320 divisors, whose sum is σ = 278553600. Its totient is φ = 14432256.

The previous prime is 66936229. The next prime is 66936241. The reversal of 66936240 is 4263966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66936195 and 66936204.

It is not an unprimeable number, because it can be changed into a prime (66936241) 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 63 ways as a sum of consecutive naturals, for example, 287164 + ... + 287396.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^66936240 is an apocalyptic number.

66936240 is a gapful number since it is divisible by the number (60) 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 66936240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

66936240 is an abundant number, since it is smaller than the sum of its proper divisors (211617360).

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

66936240 is a wasteful number, since it uses less digits than its factorization.

66936240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66936240 is about 8181.4570829407. The cubic root of 66936240 is about 406.0259311901.

It can be divided in two parts, 66936 and 240, that added together give a palindrome (67176).

The spelling of 66936240 in words is "sixty-six million, nine hundred thirty-six thousand, two hundred forty".