506688000 has 640 divisors, whose sum is σ = 2144862720. Its totient is φ = 103219200.

The previous prime is 506687983. The next prime is 506688001. The reversal of 506688000 is 886605.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (506688001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17471986 + ... + 17472014.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^506688000 is an apocalyptic number.

506688000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

506688000 is an abundant number, since it is smaller than the sum of its proper divisors (1638174720).

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

506688000 is a wasteful number, since it uses less digits than its factorization.

506688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 506688000 is about 22509.7312289596. The cubic root of 506688000 is about 797.2237097442.

The spelling of 506688000 in words is "five hundred six million, six hundred eighty-eight thousand".