51968540 has 48 divisors (see below), whose sum is σ = 118752480. Its totient is φ = 18988800.

The previous prime is 51968513. The next prime is 51968549. The reversal of 51968540 is 4586915.

51968540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51968494 and 51968503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51968549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25271 + ... + 27249.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 2^51968540 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 51968540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376240).

51968540 is an abundant number, since it is smaller than the sum of its proper divisors (66783940).

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

51968540 is a wasteful number, since it uses less digits than its factorization.

51968540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 51968540 is about 7208.9208623760. The cubic root of 51968540 is about 373.1758281884.

The spelling of 51968540 in words is "fifty-one million, nine hundred sixty-eight thousand, five hundred forty".