66306240 has 672 divisors, whose sum is σ = 319527936. Its totient is φ = 12165120.

The previous prime is 66306221. The next prime is 66306259. The reversal of 66306240 is 4260366.

66306240 is a `hidden beast` number, since 6 + 6 + 30 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66306221) and next prime (66306259).

It is a tau number, because it is divible by the number of its divisors (672).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882869 + ... + 2882891.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 2^66306240 is an apocalyptic number.

66306240 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 66306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

66306240 is an abundant number, since it is smaller than the sum of its proper divisors (253221696).

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

66306240 is a wasteful number, since it uses less digits than its factorization.

66306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66306240 is about 8142.8643608991. The cubic root of 66306240 is about 404.7480829333.

The spelling of 66306240 in words is "sixty-six million, three hundred six thousand, two hundred forty".