65010006 has 64 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 19502208.

The previous prime is 65009953. The next prime is 65010017. The reversal of 65010006 is 60001056.

65010006 is a `hidden beast` number, since 650 + 10 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19575 + ... + 22653.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^65010006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65010006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

65010006 is an abundant number, since it is smaller than the sum of its proper divisors (94657194).

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

65010006 is a wasteful number, since it uses less digits than its factorization.

65010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65010006 is about 8062.8782701961. The cubic root of 65010006 is about 402.0932062783.

The spelling of 65010006 in words is "sixty-five million, ten thousand, six".