64205000 has 40 divisors (see below), whose sum is σ = 150444030. Its totient is φ = 25680000.

The previous prime is 64204997. The next prime is 64205003. The reversal of 64205000 is 50246.

64205000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64204997) and next prime (64205003).

It can be written as a sum of positive squares in 5 ways, for example, as 556516 + 63648484 = 746^2 + 7978^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 64205000.

It is not an unprimeable number, because it can be changed into a prime (64205003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1421 + ... + 11420.

Almost surely, 2^64205000 is an apocalyptic number.

It is an amenable number.

64205000 is an abundant number, since it is smaller than the sum of its proper divisors (86239030).

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

64205000 is a wasteful number, since it uses less digits than its factorization.

64205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12867 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 64205000 is about 8012.8022563895. The cubic root of 64205000 is about 400.4266281426.

Adding to 64205000 its reverse (50246), we get a palindrome (64255246).

The spelling of 64205000 in words is "sixty-four million, two hundred five thousand".