65760 has 48 divisors (see below), whose sum is σ = 208656. Its totient is φ = 17408.

The previous prime is 65731. The next prime is 65761. The reversal of 65760 is 6756.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 65760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65761) by changing a digit.

65760 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, 412 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (4347).

2⁶⁵⁷⁶⁰ is an apocalyptic number.

65760 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 65760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104328).

65760 is an abundant number, since it is smaller than the sum of its proper divisors (142896).

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

65760 is a wasteful number, since it uses less digits than its factorization.

65760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 65760 is about 256.4371267972. The cubic root of 65760 is about 40.3633559830.

It can be divided in two parts, 657 and 60, that added together give a palindrome (717).

The spelling of 65760 in words is "sixty-five thousand, seven hundred sixty".