523968 has 28 divisors (see below), whose sum is σ = 1386840. Its totient is φ = 174592.

The previous prime is 523949. The next prime is 523969. The reversal of 523968 is 869325.

It is a happy number.

It is an Ulam number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (523969) by changing a digit.

523968 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 3 ways as a sum of consecutive naturals, for example, 1173 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (49530).

2⁵²³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

523968 is an abundant number, since it is smaller than the sum of its proper divisors (862872).

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

523968 is a wasteful number, since it uses less digits than its factorization.

523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2734 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 523968 is about 723.8563393381. The cubic root of 523968 is about 80.6185386325.

The spelling of 523968 in words is "five hundred twenty-three thousand, nine hundred sixty-eight".