66608064 has 84 divisors (see below), whose sum is σ = 192216024. Its totient is φ = 22052352.

The previous prime is 66608039. The next prime is 66608077. The reversal of 66608064 is 46080666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113179 + ... + 113765.

It is an arithmetic number, because the mean of its divisors is an integer number (2288286).

Almost surely, 2^66608064 is an apocalyptic number.

66608064 is a gapful number since it is divisible by the number (64) 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 66608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96108012).

66608064 is an abundant number, since it is smaller than the sum of its proper divisors (125607960).

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

66608064 is a wasteful number, since it uses less digits than its factorization.

66608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 66608064 is about 8161.3763545128. The cubic root of 66608064 is about 405.3612871226.

The spelling of 66608064 in words is "sixty-six million, six hundred eight thousand, sixty-four".