66575120 has 20 divisors (see below), whose sum is σ = 154787340. Its totient is φ = 26630016.

The previous prime is 66575101. The next prime is 66575143. The reversal of 66575120 is 2157566.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35617024 + 30958096 = 5968^2 + 5564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416015 + ... + 416174.

It is an arithmetic number, because the mean of its divisors is an integer number (7739367).

Almost surely, 2^66575120 is an apocalyptic number.

It is an amenable number.

66575120 is an abundant number, since it is smaller than the sum of its proper divisors (88212220).

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

66575120 is a wasteful number, since it uses less digits than its factorization.

66575120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832202 (or 832196 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 66575120 is about 8159.3578178678. The cubic root of 66575120 is about 405.2944462443.

The spelling of 66575120 in words is "sixty-six million, five hundred seventy-five thousand, one hundred twenty".