511968 has 24 divisors (see below), whose sum is σ = 1344168. Its totient is φ = 170624.

The previous prime is 511963. The next prime is 511991. The reversal of 511968 is 869115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×511968² = 524222466048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511961) 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, 2571 + ... + 2762.

It is an arithmetic number, because the mean of its divisors is an integer number (56007).

2⁵¹¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

511968 is an abundant number, since it is smaller than the sum of its proper divisors (832200).

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

511968 is a wasteful number, since it uses less digits than its factorization.

511968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5338 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 511968 is about 715.5193917708. The cubic root of 511968 is about 79.9983332986.

The spelling of 511968 in words is "five hundred eleven thousand, nine hundred sixty-eight".