66535600 has 60 divisors (see below), whose sum is σ = 160909840. Its totient is φ = 26438400.

The previous prime is 66535589. The next prime is 66535607. The reversal of 66535600 is 653566.

It is a happy number.

66535600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66535607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71941 + ... + 72859.

Almost surely, 2^66535600 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 66535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80454920).

66535600 is an abundant number, since it is smaller than the sum of its proper divisors (94374240).

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

66535600 is a wasteful number, since it uses less digits than its factorization.

66535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 66535600 is about 8156.9356991459. The cubic root of 66535600 is about 405.2142340624.

The spelling of 66535600 in words is "sixty-six million, five hundred thirty-five thousand, six hundred".