501968 has 20 divisors (see below), whose sum is σ = 983940. Its totient is φ = 248064.

The previous prime is 501967. The next prime is 501971. The reversal of 501968 is 869105.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 107584 = 628^2 + 328^2 .

It is a super-3 number, since 3×501968³ = 379445451474333696, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 501968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501967) 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, 2078 + ... + 2306.

It is an arithmetic number, because the mean of its divisors is an integer number (49197).

2⁵⁰¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

501968 is a deficient number, since it is larger than the sum of its proper divisors (481972).

501968 is a wasteful number, since it uses less digits than its factorization.

501968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 501968 is about 708.4970006994. The cubic root of 501968 is about 79.4740497822.

The spelling of 501968 in words is "five hundred one thousand, nine hundred sixty-eight".