65002000 has 80 divisors (see below), whose sum is σ = 179667072. Its totient is φ = 22281600.

The previous prime is 65001977. The next prime is 65002013. The reversal of 65002000 is 20056.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11679 + ... + 16321.

Almost surely, 2^65002000 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 65002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89833536).

65002000 is an abundant number, since it is smaller than the sum of its proper divisors (114665072).

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

65002000 is a wasteful number, since it uses less digits than its factorization.

65002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 65002000 is about 8062.3817820790. The cubic root of 65002000 is about 402.0766996379.

Adding to 65002000 its reverse (20056), we get a palindrome (65022056).

The spelling of 65002000 in words is "sixty-five million, two thousand".