51884820 has 192 divisors, whose sum is σ = 183456000. Its totient is φ = 12068352.

The previous prime is 51884813. The next prime is 51884821. The reversal of 51884820 is 2848815.

51884820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51884821) 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 63 ways as a sum of consecutive naturals, for example, 133186 + ... + 133574.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^51884820 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 51884820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

51884820 is an abundant number, since it is smaller than the sum of its proper divisors (131571180).

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

51884820 is a wasteful number, since it uses less digits than its factorization.

51884820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 51884820 is about 7203.1118275368. Note that the first 3 decimals coincide. The cubic root of 51884820 is about 372.9753282179.

The spelling of 51884820 in words is "fifty-one million, eight hundred eighty-four thousand, eight hundred twenty".