66360625 has 20 divisors (see below), whose sum is σ = 83926260. Its totient is φ = 52448000.

The previous prime is 66360607. The next prime is 66360629. The reversal of 66360625 is 52606366.

It can be written as a sum of positive squares in 10 ways, for example, as 58874929 + 7485696 = 7673^2 + 2736^2 .

It is not a de Polignac number, because 66360625 - 2⁹ = 66360113 is a prime.

It is a super-3 number, since 3×66360625³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66360629) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55029 + ... + 56221.

It is an arithmetic number, because the mean of its divisors is an integer number (4196313).

Almost surely, 2^66360625 is an apocalyptic number.

It is an amenable number.

66360625 is a deficient number, since it is larger than the sum of its proper divisors (17565635).

66360625 is an equidigital number, since it uses as much as digits as its factorization.

66360625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 66360625 is about 8146.2031032868. The cubic root of 66360625 is about 404.8587120838.

The spelling of 66360625 in words is "sixty-six million, three hundred sixty thousand, six hundred twenty-five".