51884560 has 80 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 16418304.

The previous prime is 51884551. The next prime is 51884563. The reversal of 51884560 is 6548815.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (51884563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3717 + ... + 10843.

Almost surely, 2^51884560 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 51884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

51884560 is an abundant number, since it is smaller than the sum of its proper divisors (96605936).

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

51884560 is a wasteful number, since it uses less digits than its factorization.

51884560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 51884560 is about 7203.0937797588. The cubic root of 51884560 is about 372.9747052114.

It can be divided in two parts, 518 and 84560, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 51884560 in words is "fifty-one million, eight hundred eighty-four thousand, five hundred sixty".