51940 has 36 divisors (see below), whose sum is σ = 129276. Its totient is φ = 17472.

The previous prime is 51929. The next prime is 51941. The reversal of 51940 is 4915.

51940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 23716 = 168^2 + 154^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51941) by changing a digit.

51940 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 11 ways as a sum of consecutive naturals, for example, 954 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2⁵¹⁹⁴⁰ 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 51940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638).

51940 is an abundant number, since it is smaller than the sum of its proper divisors (77336).

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

51940 is a wasteful number, since it uses less digits than its factorization.

51940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 51940 is about 227.9034883454. The cubic root of 51940 is about 37.3107502310.

The spelling of 51940 in words is "fifty-one thousand, nine hundred forty".