66617760 has 288 divisors, whose sum is σ = 244532736. Its totient is φ = 15206400.

The previous prime is 66617737. The next prime is 66617773. The reversal of 66617760 is 6771666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800462 + ... + 1800498.

It is an arithmetic number, because the mean of its divisors is an integer number (849072).

Almost surely, 2^66617760 is an apocalyptic number.

66617760 is a gapful number since it is divisible by the number (60) 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 66617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368).

66617760 is an abundant number, since it is smaller than the sum of its proper divisors (177914976).

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

66617760 is a wasteful number, since it uses less digits than its factorization.

66617760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 66617760 is about 8161.9703503505. The cubic root of 66617760 is about 405.3809553735.

The spelling of 66617760 in words is "sixty-six million, six hundred seventeen thousand, seven hundred sixty".