51676144 has 60 divisors (see below), whose sum is σ = 112325400. Its totient is φ = 22993152.

The previous prime is 51676139. The next prime is 51676151. The reversal of 51676144 is 44167615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78087 + ... + 78745.

It is an arithmetic number, because the mean of its divisors is an integer number (1872090).

Almost surely, 2^51676144 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 51676144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56162700).

51676144 is an abundant number, since it is smaller than the sum of its proper divisors (60649256).

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

51676144 is a wasteful number, since it uses less digits than its factorization.

51676144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 703 counting only the distinct ones).

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

The square root of 51676144 is about 7188.6121052676. The cubic root of 51676144 is about 372.4746321478.

It can be divided in two parts, 5167 and 6144, that added together give a palindrome (11311).

The spelling of 51676144 in words is "fifty-one million, six hundred seventy-six thousand, one hundred forty-four".