506103760 has 80 divisors (see below), whose sum is σ = 1272240000. Its totient is φ = 186582528.

The previous prime is 506103749. The next prime is 506103803. The reversal of 506103760 is 67301605.

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

It is a super-2 number, since 2×506103760² = 512282031772275200, which contains 22 as substring.

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, 51741 + ... + 60739.

It is an arithmetic number, because the mean of its divisors is an integer number (15903000).

Almost surely, 2^506103760 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 506103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120000).

506103760 is an abundant number, since it is smaller than the sum of its proper divisors (766136240).

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

506103760 is a wasteful number, since it uses less digits than its factorization.

506103760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9068 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 506103760 is about 22496.7499874982. The cubic root of 506103760 is about 796.9171771806.

The spelling of 506103760 in words is "five hundred six million, one hundred three thousand, seven hundred sixty".