512008 has 32 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 213120.

The previous prime is 511997. The next prime is 512009. The reversal of 512008 is 800215.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 511982 and 512000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512009) by changing a digit.

512008 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2185 + ... + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁵¹²⁰⁰⁸ 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 512008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

512008 is an abundant number, since it is smaller than the sum of its proper divisors (616952).

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

512008 is a wasteful number, since it uses less digits than its factorization.

512008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 512008 is about 715.5473429480. The cubic root of 512008 is about 80.0004166645. Note that the first 3 decimals are identical.

It can be divided in two parts, 51200 and 8, that multiplied together give a square (409600 = 640²).

The spelling of 512008 in words is "five hundred twelve thousand, eight".