64560 has 40 divisors (see below), whose sum is σ = 200880. Its totient is φ = 17152.

The previous prime is 64553. The next prime is 64567. The reversal of 64560 is 6546.

64560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64553) and next prime (64567).

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (64567) by changing a digit.

64560 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, 106 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁶⁴⁵⁶⁰ is an apocalyptic number.

64560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

64560 is an abundant number, since it is smaller than the sum of its proper divisors (136320).

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

64560 is a wasteful number, since it uses less digits than its factorization.

64560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 64560 is about 254.0865994105. The cubic root of 64560 is about 40.1163280334.

The spelling of 64560 in words is "sixty-four thousand, five hundred sixty".