506556640 has 96 divisors (see below), whose sum is σ = 1259665344. Its totient is φ = 192245760.

The previous prime is 506556637. The next prime is 506556691. The reversal of 506556640 is 46655605.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 506556640.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 241677 + ... + 243763.

It is an arithmetic number, because the mean of its divisors is an integer number (13121514).

Almost surely, 2^506556640 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 506556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629832672).

506556640 is an abundant number, since it is smaller than the sum of its proper divisors (753108704).

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

506556640 is a wasteful number, since it uses less digits than its factorization.

506556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 506556640 is about 22506.8131906763. The cubic root of 506556640 is about 797.1548097783.

The spelling of 506556640 in words is "five hundred six million, five hundred fifty-six thousand, six hundred forty".