51627864 has 64 divisors (see below), whose sum is σ = 139075200. Its totient is φ = 15918336.

The previous prime is 51627857. The next prime is 51627869. The reversal of 51627864 is 46872615.

51627864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51627869) 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, 18292 + ... + 20924.

It is an arithmetic number, because the mean of its divisors is an integer number (2173050).

Almost surely, 2^51627864 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 51627864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69537600).

51627864 is an abundant number, since it is smaller than the sum of its proper divisors (87447336).

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

51627864 is a wasteful number, since it uses less digits than its factorization.

51627864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2700 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 51627864 is about 7185.2532314456. The cubic root of 51627864 is about 372.3585974416.

The spelling of 51627864 in words is "fifty-one million, six hundred twenty-seven thousand, eight hundred sixty-four".