64064160 has 144 divisors (see below), whose sum is σ = 231567336. Its totient is φ = 16072704.

The previous prime is 64064159. The next prime is 64064173. The reversal of 64064160 is 6146046.

64064160 is a `hidden beast` number, since 640 + 6 + 4 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64064016 + 144 = 8004^2 + 12^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23172 + ... + 25788.

Almost surely, 2^64064160 is an apocalyptic number.

64064160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115783668).

64064160 is an abundant number, since it is smaller than the sum of its proper divisors (167503176).

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

64064160 is a wasteful number, since it uses less digits than its factorization.

64064160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64064160 is about 8004.0089954972. The cubic root of 64064160 is about 400.1336220246.

The spelling of 64064160 in words is "sixty-four million, sixty-four thousand, one hundred sixty".