51673840 has 40 divisors (see below), whose sum is σ = 121398480. Its totient is φ = 20453376.

The previous prime is 51673823. The next prime is 51673841. The reversal of 51673840 is 4837615.

51673840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 51673796 and 51673805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51673841) 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 7 ways as a sum of consecutive naturals, for example, 4431 + ... + 11089.

It is an arithmetic number, because the mean of its divisors is an integer number (3034962).

Almost surely, 2^51673840 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 51673840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60699240).

51673840 is an abundant number, since it is smaller than the sum of its proper divisors (69724640).

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

51673840 is a wasteful number, since it uses less digits than its factorization.

51673840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 51673840 is about 7188.4518500161. The cubic root of 51673840 is about 372.4690964258.

The spelling of 51673840 in words is "fifty-one million, six hundred seventy-three thousand, eight hundred forty".