66828736 has 56 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 30170112.

The previous prime is 66828709. The next prime is 66828739. The reversal of 66828736 is 63782866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66828739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38250 + ... + 39958.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^66828736 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 66828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

66828736 is an abundant number, since it is smaller than the sum of its proper divisors (79109504).

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

66828736 is a wasteful number, since it uses less digits than its factorization.

66828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1771 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 66828736 is about 8174.8844640154. The cubic root of 66828736 is about 405.8084466082.

The spelling of 66828736 in words is "sixty-six million, eight hundred twenty-eight thousand, seven hundred thirty-six".