65360 has 40 divisors (see below), whose sum is σ = 163680. Its totient is φ = 24192.

The previous prime is 65357. The next prime is 65371. The reversal of 65360 is 6356.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1499 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (4092).

2⁶⁵³⁶⁰ 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 65360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

65360 is an abundant number, since it is smaller than the sum of its proper divisors (98320).

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

65360 is a wasteful number, since it uses less digits than its factorization.

65360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 65360 is about 255.6560189004. The cubic root of 65360 is about 40.2813497515.

The spelling of 65360 in words is "sixty-five thousand, three hundred sixty".