66114720 has 216 divisors, whose sum is σ = 262731924. Its totient is φ = 15095808.

The previous prime is 66114709. The next prime is 66114731. The reversal of 66114720 is 2741166.

66114720 is a `hidden beast` number, since 6 + 611 + 47 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66114709) and next prime (66114731).

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 7683984 = 7644^2 + 2772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70092 + ... + 71028.

Almost surely, 2^66114720 is an apocalyptic number.

66114720 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 66114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131365962).

66114720 is an abundant number, since it is smaller than the sum of its proper divisors (196617204).

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

66114720 is a wasteful number, since it uses less digits than its factorization.

66114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66114720 is about 8131.0958671018. The cubic root of 66114720 is about 404.3580135273.

Adding to 66114720 its reverse (2741166), we get a palindrome (68855886).

The spelling of 66114720 in words is "sixty-six million, one hundred fourteen thousand, seven hundred twenty".