64968 has 16 divisors (see below), whose sum is σ = 162480. Its totient is φ = 21648.

The previous prime is 64951. The next prime is 64969. The reversal of 64968 is 86946.

64968 = T₈₂ + T₈₃ + ... + T₉₇.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64969) by changing a digit.

64968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1330 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (10155).

2⁶⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

64968 is an abundant number, since it is smaller than the sum of its proper divisors (97512).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81240).

64968 is a wasteful number, since it uses less digits than its factorization.

64968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 64968 is about 254.8882107905. Note that the first 3 decimals coincide. The cubic root of 64968 is about 40.2006583888.

It can be divided in two parts, 649 and 68, that added together give a palindrome (717).

The spelling of 64968 in words is "sixty-four thousand, nine hundred sixty-eight".