512604 has 36 divisors (see below), whose sum is σ = 1343160. Its totient is φ = 164640.

The previous prime is 512597. The next prime is 512609. The reversal of 512604 is 406215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512609) by changing a digit.

512604 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (37310).

2⁵¹²⁶⁰⁴ 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 512604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671580).

512604 is an abundant number, since it is smaller than the sum of its proper divisors (830556).

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

512604 is a wasteful number, since it uses less digits than its factorization.

512604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 512604 is about 715.9636862300. The cubic root of 512604 is about 80.0314459711.

Adding to 512604 its reverse (406215), we get a palindrome (918819).

The spelling of 512604 in words is "five hundred twelve thousand, six hundred four".