65620 has 24 divisors (see below), whose sum is σ = 146664. Its totient is φ = 24576.

The previous prime is 65617. The next prime is 65629. The reversal of 65620 is 2656.

65620 = 59² + 60² + ... + 73².

65620 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 58564 = 84^2 + 242^2 .

It is a plaindrome in base 6 and base 15.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (6111).

2⁶⁵⁶²⁰ 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 65620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73332).

65620 is an abundant number, since it is smaller than the sum of its proper divisors (81044).

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

65620 is a wasteful number, since it uses less digits than its factorization.

65620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 65620 is about 256.1640099624. The cubic root of 65620 is about 40.3346917255.

It can be divided in two parts, 656 and 20, that added together give a palindrome (676).

The spelling of 65620 in words is "sixty-five thousand, six hundred twenty".