51960 has 32 divisors (see below), whose sum is σ = 156240. Its totient is φ = 13824.

The previous prime is 51949. The next prime is 51971. The reversal of 51960 is 6915.

It is an interprime number because it is at equal distance from previous prime (51949) and next prime (51971).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51960.

It is an unprimeable number.

51960 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 7 ways as a sum of consecutive naturals, for example, 97 + ... + 336.

2⁵¹⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

51960 is an abundant number, since it is smaller than the sum of its proper divisors (104280).

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 (78120).

51960 is a wasteful number, since it uses less digits than its factorization.

51960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 51960 is about 227.9473623449. The cubic root of 51960 is about 37.3155385717.

The spelling of 51960 in words is "fifty-one thousand, nine hundred sixty".