66310368 has 48 divisors (see below), whose sum is σ = 175689360. Its totient is φ = 21897216.

The previous prime is 66310313. The next prime is 66310393. The reversal of 66310368 is 86301366.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7296 + ... + 13632.

It is an arithmetic number, because the mean of its divisors is an integer number (3660195).

Almost surely, 2^66310368 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 66310368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87844680).

66310368 is an abundant number, since it is smaller than the sum of its proper divisors (109378992).

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

66310368 is a wasteful number, since it uses less digits than its factorization.

66310368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66310368 is about 8143.1178304136. The cubic root of 66310368 is about 404.7564821700.

The spelling of 66310368 in words is "sixty-six million, three hundred ten thousand, three hundred sixty-eight".