512992 has 48 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 225280.

The previous prime is 512989. The next prime is 512999. The reversal of 512992 is 299215.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 512992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12492 + ... + 12532.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁵¹²⁹⁹² 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 512992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571536).

512992 is an abundant number, since it is smaller than the sum of its proper divisors (630080).

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

512992 is a wasteful number, since it uses less digits than its factorization.

512992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 1620, while the sum is 28.

The square root of 512992 is about 716.2345984382. The cubic root of 512992 is about 80.0516333345.

The spelling of 512992 in words is "five hundred twelve thousand, nine hundred ninety-two".