66306840 has 64 divisors (see below), whose sum is σ = 203787360. Its totient is φ = 17249280.

The previous prime is 66306811. The next prime is 66306841. The reversal of 66306840 is 4860366.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66306841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1819 + ... + 11658.

Almost surely, 2^66306840 is an apocalyptic number.

66306840 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 66306840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101893680).

66306840 is an abundant number, since it is smaller than the sum of its proper divisors (137480520).

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

66306840 is a wasteful number, since it uses less digits than its factorization.

66306840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13532 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 66306840 is about 8142.9012028883. The cubic root of 66306840 is about 404.7493037742.

The spelling of 66306840 in words is "sixty-six million, three hundred six thousand, eight hundred forty".