64760960 has 64 divisors (see below), whose sum is σ = 168912000. Its totient is φ = 23546880.

The previous prime is 64760951. The next prime is 64760963. The reversal of 64760960 is 6906746.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (64760963) by changing a digit.

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, 2441 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (2639250).

Almost surely, 2^64760960 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 64760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84456000).

64760960 is an abundant number, since it is smaller than the sum of its proper divisors (104151040).

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

64760960 is a wasteful number, since it uses less digits than its factorization.

64760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 64760960 is about 8047.4194621630. The cubic root of 64760960 is about 401.5790913068.

The spelling of 64760960 in words is "sixty-four million, seven hundred sixty thousand, nine hundred sixty".