66646125 has 192 divisors, whose sum is σ = 159344640. Its totient is φ = 27216000.

The previous prime is 66646109. The next prime is 66646159. The reversal of 66646125 is 52164666.

It is a happy number.

It is not a de Polignac number, because 66646125 - 2⁴ = 66646109 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66646125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2149860 + ... + 2149890.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 2^66646125 is an apocalyptic number.

66646125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66646125 is an abundant number, since it is smaller than the sum of its proper divisors (92698515).

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

66646125 is a wasteful number, since it uses less digits than its factorization.

66646125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66646125 is about 8163.7077973186. The cubic root of 66646125 is about 405.4384825714.

The spelling of 66646125 in words is "sixty-six million, six hundred forty-six thousand, one hundred twenty-five".