506586640 has 40 divisors (see below), whose sum is σ = 1346074560. Its totient is φ = 173686656.

The previous prime is 506586637. The next prime is 506586643. The reversal of 506586640 is 46685605.

It is an interprime number because it is at equal distance from previous prime (506586637) and next prime (506586643).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 506586593 and 506586602.

It is not an unprimeable number, because it can be changed into a prime (506586643) 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 7 ways as a sum of consecutive naturals, for example, 451750 + ... + 452869.

It is an arithmetic number, because the mean of its divisors is an integer number (33651864).

Almost surely, 2^506586640 is an apocalyptic number.

It is an amenable number.

506586640 is an abundant number, since it is smaller than the sum of its proper divisors (839487920).

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

506586640 is a wasteful number, since it uses less digits than its factorization.

506586640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904639 (or 904633 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 506586640 is about 22507.4796456645. The cubic root of 506586640 is about 797.1705462036.

The spelling of 506586640 in words is "five hundred six million, five hundred eighty-six thousand, six hundred forty".