53980 has 12 divisors (see below), whose sum is σ = 113400. Its totient is φ = 21584.

The previous prime is 53959. The next prime is 53987. The reversal of 53980 is 8935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53987) by changing a digit.

53980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1330 + ... + 1369.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁵³⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

53980 is an abundant number, since it is smaller than the sum of its proper divisors (59420).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56700).

53980 is a wasteful number, since it uses less digits than its factorization.

53980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 53980 is about 232.3359636389. The cubic root of 53980 is about 37.7929645464.

Subtracting from 53980 its product of nonzero digits (1080), we obtain a square (52900 = 230²).

It can be divided in two parts, 5 and 3980, that multiplied together give a triangular number (19900 = T₁₉₉).

The spelling of 53980 in words is "fifty-three thousand, nine hundred eighty".