50688960 has 224 divisors, whose sum is σ = 194096640. Its totient is φ = 10948608.

The previous prime is 50688949. The next prime is 50688973. The reversal of 50688960 is 6988605.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 127482 + ... + 127878.

Almost surely, 2^50688960 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 50688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97048320).

50688960 is an abundant number, since it is smaller than the sum of its proper divisors (143407680).

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

50688960 is a wasteful number, since it uses less digits than its factorization.

50688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 50688960 is about 7119.6179672789. The cubic root of 50688960 is about 370.0875371163.

It can be divided in two parts, 5068 and 8960, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 50688960 in words is "fifty million, six hundred eighty-eight thousand, nine hundred sixty".