64105760 has 48 divisors (see below), whose sum is σ = 152523000. Its totient is φ = 25460736.

The previous prime is 64105757. The next prime is 64105771. The reversal of 64105760 is 6750146.

It can be written as a sum of positive squares in 4 ways, for example, as 19963024 + 44142736 = 4468^2 + 6644^2 .

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 7 ways as a sum of consecutive naturals, for example, 22496 + ... + 25184.

Almost surely, 2^64105760 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 64105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76261500).

64105760 is an abundant number, since it is smaller than the sum of its proper divisors (88417240).

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

64105760 is a wasteful number, since it uses less digits than its factorization.

64105760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 64105760 is about 8006.6072714977. The cubic root of 64105760 is about 400.2202120777.

The spelling of 64105760 in words is "sixty-four million, one hundred five thousand, seven hundred sixty".