66613360 has 80 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 23793920.

The previous prime is 66613307. The next prime is 66613367. The reversal of 66613360 is 6331666.

66613360 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 (80).

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 (66613367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51279 + ... + 52561.

It is an arithmetic number, because the mean of its divisors is an integer number (2149416).

Almost surely, 2^66613360 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 66613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

66613360 is an abundant number, since it is smaller than the sum of its proper divisors (105339920).

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

66613360 is a wasteful number, since it uses less digits than its factorization.

66613360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 66613360 is about 8161.7008031415. The cubic root of 66613360 is about 405.3720302486.

The spelling of 66613360 in words is "sixty-six million, six hundred thirteen thousand, three hundred sixty".