506191680 has 280 divisors, whose sum is σ = 1836663840. Its totient is φ = 132295680.

The previous prime is 506191669. The next prime is 506191691. The reversal of 506191680 is 86191605.

506191680 is a `hidden beast` number, since 506 + 1 + 91 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506191669) and next prime (506191691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1529115 + ... + 1529445.

Almost surely, 2^506191680 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 506191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918331920).

506191680 is an abundant number, since it is smaller than the sum of its proper divisors (1330472160).

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

506191680 is a wasteful number, since it uses less digits than its factorization.

506191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 506191680 is about 22498.7039626730. The cubic root of 506191680 is about 796.9633211449.

The spelling of 506191680 in words is "five hundred six million, one hundred ninety-one thousand, six hundred eighty".