66732336 has 200 divisors, whose sum is σ = 218938368. Its totient is φ = 19440000.

The previous prime is 66732331. The next prime is 66732343. The reversal of 66732336 is 63323766.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66732336.

It is not an unprimeable number, because it can be changed into a prime (66732331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441861 + ... + 442011.

Almost surely, 2^66732336 is an apocalyptic number.

66732336 is a gapful number since it is divisible by the number (66) 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 66732336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109469184).

66732336 is an abundant number, since it is smaller than the sum of its proper divisors (152206032).

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

66732336 is a wasteful number, since it uses less digits than its factorization.

66732336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 66732336 is about 8168.9862284129. The cubic root of 66732336 is about 405.6132273968.

It can be divided in two parts, 6673 and 2336, that added together give a palindrome (9009).

The spelling of 66732336 in words is "sixty-six million, seven hundred thirty-two thousand, three hundred thirty-six".