506126640 has 80 divisors (see below), whose sum is σ = 1576015200. Its totient is φ = 134363136.

The previous prime is 506126639. The next prime is 506126651. The reversal of 506126640 is 46621605.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 506126598 and 506126607.

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, 50356 + ... + 59564.

It is an arithmetic number, because the mean of its divisors is an integer number (19700190).

Almost surely, 2^506126640 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 506126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788007600).

506126640 is an abundant number, since it is smaller than the sum of its proper divisors (1069888560).

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

506126640 is a wasteful number, since it uses less digits than its factorization.

506126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 506126640 is about 22497.2584996484. The cubic root of 506126640 is about 796.9291860424.

The spelling of 506126640 in words is "five hundred six million, one hundred twenty-six thousand, six hundred forty".