53680 has 40 divisors (see below), whose sum is σ = 138384. Its totient is φ = 19200.

The previous prime is 53657. The next prime is 53681. The reversal of 53680 is 8635.

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

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850 + ... + 910.

2⁵³⁶⁸⁰ 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 53680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69192).

53680 is an abundant number, since it is smaller than the sum of its proper divisors (84704).

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

53680 is a wasteful number, since it uses less digits than its factorization.

53680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 53680 is about 231.6894473212. The cubic root of 53680 is about 37.7228215408.

It can be divided in two parts, 536 and 80, that added together give a palindrome (616).

The spelling of 53680 in words is "fifty-three thousand, six hundred eighty".