66693504 has 128 divisors (see below), whose sum is σ = 188373600. Its totient is φ = 20873216.

The previous prime is 66693479. The next prime is 66693527. The reversal of 66693504 is 40539666.

It is a happy number.

66693504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590152 + ... + 590264.

Almost surely, 2^66693504 is an apocalyptic number.

66693504 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 66693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94186800).

66693504 is an abundant number, since it is smaller than the sum of its proper divisors (121680096).

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

66693504 is a wasteful number, since it uses less digits than its factorization.

66693504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 66693504 is about 8166.6090882324. The cubic root of 66693504 is about 405.5345357662.

The spelling of 66693504 in words is "sixty-six million, six hundred ninety-three thousand, five hundred four".