507608640 has 672 divisors, whose sum is σ = 2293315200. Its totient is φ = 104509440.

The previous prime is 507608623. The next prime is 507608671. The reversal of 507608640 is 46806705.

It is a happy number.

507608640 is a `hidden beast` number, since 5 + 0 + 7 + 6 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 507608595 and 507608604.

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 95 ways as a sum of consecutive naturals, for example, 4656906 + ... + 4657014.

Almost surely, 2^507608640 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 507608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146657600).

507608640 is an abundant number, since it is smaller than the sum of its proper divisors (1785706560).

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

507608640 is a wasteful number, since it uses less digits than its factorization.

507608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 507608640 is about 22530.1717703172. The cubic root of 507608640 is about 797.7062630824.

The spelling of 507608640 in words is "five hundred seven million, six hundred eight thousand, six hundred forty".