506211768 has 64 divisors (see below), whose sum is σ = 1423552800. Its totient is φ = 168731424.

The previous prime is 506211751. The next prime is 506211809. The reversal of 506211768 is 867112605.

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 15 ways as a sum of consecutive naturals, for example, 3030 + ... + 31962.

Almost surely, 2^506211768 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 506211768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711776400).

506211768 is an abundant number, since it is smaller than the sum of its proper divisors (917341032).

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

506211768 is an equidigital number, since it uses as much as digits as its factorization.

506211768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28960 (or 28938 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 506211768 is about 22499.1503839589. The cubic root of 506211768 is about 796.9738633881.

The spelling of 506211768 in words is "five hundred six million, two hundred eleven thousand, seven hundred sixty-eight".