64960 has 56 divisors (see below), whose sum is σ = 182880. Its totient is φ = 21504.

The previous prime is 64951. The next prime is 64969. The reversal of 64960 is 6946.

It is an interprime number because it is at equal distance from previous prime (64951) and next prime (64969).

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

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

64960 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 7 ways as a sum of consecutive naturals, for example, 2226 + ... + 2254.

2⁶⁴⁹⁶⁰ 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 64960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

64960 is an abundant number, since it is smaller than the sum of its proper divisors (117920).

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

64960 is a wasteful number, since it uses less digits than its factorization.

64960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 64960 is about 254.8725171532. The cubic root of 64960 is about 40.1990082509.

It can be divided in two parts, 64 and 960, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 64960 in words is "sixty-four thousand, nine hundred sixty".