50568 has 48 divisors (see below), whose sum is σ = 150480. Its totient is φ = 14112.

The previous prime is 50551. The next prime is 50581. The reversal of 50568 is 86505.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is an unprimeable number.

50568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1155 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (3135).

2⁵⁰⁵⁶⁸ 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 50568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75240).

50568 is an abundant number, since it is smaller than the sum of its proper divisors (99912).

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

50568 is a wasteful number, since it uses less digits than its factorization.

50568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 50568 is about 224.8732976589. The cubic root of 50568 is about 36.9792920404.

Subtracting 50568 from its reverse (86505), we obtain a cube (35937 = 33³).

The spelling of 50568 in words is "fifty thousand, five hundred sixty-eight".