512064 has 84 divisors (see below), whose sum is σ = 1690624. Its totient is φ = 145152.

The previous prime is 512059. The next prime is 512093. The reversal of 512064 is 460215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 512064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3969 + ... + 4095.

2⁵¹²⁰⁶⁴ 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 512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845312).

512064 is an abundant number, since it is smaller than the sum of its proper divisors (1178560).

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

512064 is a wasteful number, since it uses less digits than its factorization.

512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

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

The square root of 512064 is about 715.5864727620. The cubic root of 512064 is about 80.0033331945.

Adding to 512064 its reverse (460215), we get a palindrome (972279).

It can be divided in two parts, 5120 and 64, that added together give a square (5184 = 72²).

The spelling of 512064 in words is "five hundred twelve thousand, sixty-four".