66585504 has 48 divisors (see below), whose sum is σ = 177266880. Its totient is φ = 21880320.

The previous prime is 66585499. The next prime is 66585523. The reversal of 66585504 is 40558566.

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

It is a super-3 number, since 3×66585504³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1932 + ... + 11700.

It is an arithmetic number, because the mean of its divisors is an integer number (3693060).

Almost surely, 2^66585504 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 66585504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88633440).

66585504 is an abundant number, since it is smaller than the sum of its proper divisors (110681376).

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

66585504 is a wasteful number, since it uses less digits than its factorization.

66585504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 66585504 is about 8159.9941176449. The cubic root of 66585504 is about 405.3155169724.

The spelling of 66585504 in words is "sixty-six million, five hundred eighty-five thousand, five hundred four".