66125000 has 84 divisors (see below), whose sum is σ = 162009645. Its totient is φ = 25300000.

The previous prime is 66124999. The next prime is 66125009. The reversal of 66125000 is 52166.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 11276164 + 54848836 = 3358^2 + 7406^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5750.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (66125009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2874989 + ... + 2875011.

Almost surely, 2^66125000 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 66125000

66125000 is an abundant number, since it is smaller than the sum of its proper divisors (95884645).

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

66125000 is an frugal number, since it uses more digits than its factorization.

66125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 66125000 is about 8131.7279836453. The cubic root of 66125000 is about 404.3789699545.

Adding to 66125000 its reverse (52166), we get a palindrome (66177166).

The spelling of 66125000 in words is "sixty-six million, one hundred twenty-five thousand".