50688000 has 312 divisors, whose sum is σ = 199336176. Its totient is φ = 12288000.

The previous prime is 50687993. The next prime is 50688019. The reversal of 50688000 is 88605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607995 + ... + 4608005.

It is an arithmetic number, because the mean of its divisors is an integer number (638898).

Almost surely, 2^50688000 is an apocalyptic number.

50688000 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 50688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99668088).

50688000 is an abundant number, since it is smaller than the sum of its proper divisors (148648176).

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

50688000 is a wasteful number, since it uses less digits than its factorization.

50688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 50688000 is about 7119.5505476118. The cubic root of 50688000 is about 370.0852007346.

The spelling of 50688000 in words is "fifty million, six hundred eighty-eight thousand".