64768 has 36 divisors (see below), whose sum is σ = 147168. Its totient is φ = 28160.

The previous prime is 64763. The next prime is 64781. The reversal of 64768 is 86746.

64768 = T₇ + T₈ + ... + T₇₂.

64768 is nontrivially palindromic in base 13.

Its product of digits (8064) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2805 + ... + 2827.

It is an arithmetic number, because the mean of its divisors is an integer number (4088).

2⁶⁴⁷⁶⁸ 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 64768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584).

64768 is an abundant number, since it is smaller than the sum of its proper divisors (82400).

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

64768 is a wasteful number, since it uses less digits than its factorization.

64768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 64768 is about 254.4955795294. The cubic root of 64768 is about 40.1593642328.

It can be divided in two parts, 6 and 4768, that added together give a palindrome (4774).

The spelling of 64768 in words is "sixty-four thousand, seven hundred sixty-eight".