53940 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 13440.

The previous prime is 53939. The next prime is 53951. The reversal of 53940 is 4935.

53940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵³⁹⁴⁰ 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 53940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

53940 is an abundant number, since it is smaller than the sum of its proper divisors (107340).

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

53940 is a wasteful number, since it uses less digits than its factorization.

53940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 53940 is about 232.2498654467. The cubic root of 53940 is about 37.7836271860.

The spelling of 53940 in words is "fifty-three thousand, nine hundred forty".