66338720 has 96 divisors (see below), whose sum is σ = 182238336. Its totient is φ = 22348800.

The previous prime is 66338717. The next prime is 66338771. The reversal of 66338720 is 2783366.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67835 + ... + 68805.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 2^66338720 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 66338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91119168).

66338720 is an abundant number, since it is smaller than the sum of its proper divisors (115899616).

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

66338720 is a wasteful number, since it uses less digits than its factorization.

66338720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 66338720 is about 8144.8585009195. The cubic root of 66338720 is about 404.8141605341.

The spelling of 66338720 in words is "sixty-six million, three hundred thirty-eight thousand, seven hundred twenty".