53340 has 48 divisors (see below), whose sum is σ = 172032. Its totient is φ = 12096.

The previous prime is 53327. The next prime is 53353. The reversal of 53340 is 4335.

It is an interprime number because it is at equal distance from previous prime (53327) and next prime (53353).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

53340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 357 + ... + 483.

It is an arithmetic number, because the mean of its divisors is an integer number (3584).

2⁵³³⁴⁰ 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 53340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86016).

53340 is an abundant number, since it is smaller than the sum of its proper divisors (118692).

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

53340 is a wasteful number, since it uses less digits than its factorization.

53340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 53340 is about 230.9545409816. The cubic root of 53340 is about 37.6430094833.

Adding to 53340 its reverse (4335), we get a palindrome (57675).

It can be divided in two parts, 53 and 340, that added together give a palindrome (393).

The spelling of 53340 in words is "fifty-three thousand, three hundred forty".