51884600 has 48 divisors (see below), whose sum is σ = 122704200. Its totient is φ = 20397440.

The previous prime is 51884579. The next prime is 51884633. The reversal of 51884600 is 648815.

51884600 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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9602 + ... + 13998.

Almost surely, 2^51884600 is an apocalyptic number.

51884600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51884600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61352100).

51884600 is an abundant number, since it is smaller than the sum of its proper divisors (70819600).

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

51884600 is a wasteful number, since it uses less digits than its factorization.

51884600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 51884600 is about 7203.0965563430. The cubic root of 51884600 is about 372.9748010586.

The spelling of 51884600 in words is "fifty-one million, eight hundred eighty-four thousand, six hundred".