512632008 has 384 divisors, whose sum is σ = 1833062400. Its totient is φ = 125908992.

The previous prime is 512632007. The next prime is 512632009. The reversal of 512632008 is 800236215.

It is an interprime number because it is at equal distance from previous prime (512632007) and next prime (512632009).

It is a super-2 number, since 2×512632008² = 525583151252224128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (512632007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7651191 + ... + 7651257.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^512632008 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 512632008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

512632008 is an abundant number, since it is smaller than the sum of its proper divisors (1320430392).

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

512632008 is a wasteful number, since it uses less digits than its factorization.

512632008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 512632008 is about 22641.3782266010. The cubic root of 512632008 is about 800.3290354843.

The spelling of 512632008 in words is "five hundred twelve million, six hundred thirty-two thousand, eight".