64205568 has 144 divisors (see below), whose sum is σ = 217154560. Its totient is φ = 18330624.

The previous prime is 64205551. The next prime is 64205573. The reversal of 64205568 is 86550246.

64205568 is a `hidden beast` number, since 642 + 0 + 5 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 47721 + ... + 49047.

Almost surely, 2^64205568 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 64205568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108577280).

64205568 is an abundant number, since it is smaller than the sum of its proper divisors (152948992).

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

64205568 is a wasteful number, since it uses less digits than its factorization.

64205568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 64205568 is about 8012.8376995918. The cubic root of 64205568 is about 400.4278089523.

The spelling of 64205568 in words is "sixty-four million, two hundred five thousand, five hundred sixty-eight".