66085000 has 40 divisors (see below), whose sum is σ = 154848870. Its totient is φ = 26432000.

The previous prime is 66084971. The next prime is 66085009. The reversal of 66085000 is 58066.

It can be written as a sum of positive squares in 5 ways, for example, as 248004 + 65836996 = 498^2 + 8114^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (66085009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1609 + ... + 11608.

Almost surely, 2^66085000 is an apocalyptic number.

It is an amenable number.

66085000 is an abundant number, since it is smaller than the sum of its proper divisors (88763870).

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

66085000 is a wasteful number, since it uses less digits than its factorization.

66085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13243 (or 13224 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 66085000 is about 8129.2681097378. The cubic root of 66085000 is about 404.2974152151.

The spelling of 66085000 in words is "sixty-six million, eighty-five thousand".