66293280 has 144 divisors (see below), whose sum is σ = 238230720. Its totient is φ = 16740864.

The previous prime is 66293267. The next prime is 66293303. The reversal of 66293280 is 8239266.

66293280 is a `hidden beast` number, since 6 + 629 + 3 + 28 + 0 = 666.

66293280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 26149 + ... + 28571.

It is an arithmetic number, because the mean of its divisors is an integer number (1654380).

Almost surely, 2^66293280 is an apocalyptic number.

66293280 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 66293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119115360).

66293280 is an abundant number, since it is smaller than the sum of its proper divisors (171937440).

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

66293280 is a wasteful number, since it uses less digits than its factorization.

66293280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66293280 is about 8142.0685332414. The cubic root of 66293280 is about 404.7217109712.

The spelling of 66293280 in words is "sixty-six million, two hundred ninety-three thousand, two hundred eighty".