66914080 has 48 divisors (see below), whose sum is σ = 159526584. Its totient is φ = 26521600.

The previous prime is 66914077. The next prime is 66914101. The reversal of 66914080 is 8041966.

66914080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29899024 + 37015056 = 5468^2 + 6084^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16230 + ... + 19930.

Almost surely, 2^66914080 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 66914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79763292).

66914080 is an abundant number, since it is smaller than the sum of its proper divisors (92612504).

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

66914080 is a wasteful number, since it uses less digits than its factorization.

66914080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 66914080 is about 8180.1026888420. The cubic root of 66914080 is about 405.9811197510.

The spelling of 66914080 in words is "sixty-six million, nine hundred fourteen thousand, eighty".