501768 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 158400.

The previous prime is 501731. The next prime is 501769. The reversal of 501768 is 867105.

501768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×501768² = 503542251648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (501769) by changing a digit.

501768 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 4918 + ... + 5018.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁵⁰¹⁷⁶⁸ 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 501768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

501768 is an abundant number, since it is smaller than the sum of its proper divisors (967032).

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

501768 is a wasteful number, since it uses less digits than its factorization.

501768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 501768 is about 708.3558427796. The cubic root of 501768 is about 79.4634933846.

The spelling of 501768 in words is "five hundred one thousand, seven hundred sixty-eight".