66608920 has 64 divisors (see below), whose sum is σ = 178744320. Its totient is φ = 21842304.

The previous prime is 66608909. The next prime is 66608951. The reversal of 66608920 is 2980666.

It is a self number, because there is not a number n which added to its sum of digits gives 66608920.

It is a congruent number.

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, 1269 + ... + 11611.

It is an arithmetic number, because the mean of its divisors is an integer number (2792880).

Almost surely, 2^66608920 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 66608920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89372160).

66608920 is an abundant number, since it is smaller than the sum of its proper divisors (112135400).

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

66608920 is a wasteful number, since it uses less digits than its factorization.

66608920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 66608920 is about 8161.4287964792. The cubic root of 66608920 is about 405.3630235879.

It can be divided in two parts, 66608 and 920, that added together give a triangular number (67528 = T₃₆₇).

The spelling of 66608920 in words is "sixty-six million, six hundred eight thousand, nine hundred twenty".