50624 has 28 divisors (see below), whose sum is σ = 115824. Its totient is φ = 21504.

The previous prime is 50599. The next prime is 50627. The reversal of 50624 is 42605.

50624 is nontrivially palindromic in base 15.

It is a Cunningham number, because it is equal to 15⁴-1.

It is a tau number, because it is divible by the number of its divisors (28).

50624 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392 + ... + 504.

2⁵⁰⁶²⁴ 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 50624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57912).

50624 is an abundant number, since it is smaller than the sum of its proper divisors (65200).

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

50624 is a wasteful number, since it uses less digits than its factorization.

50624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 50624 is about 224.9977777668. The cubic root of 50624 is about 36.9929375369.

The spelling of 50624 in words is "fifty thousand, six hundred twenty-four".