506810616 has 64 divisors (see below), whose sum is σ = 1381000320. Its totient is φ = 154055040.

The previous prime is 506810611. The next prime is 506810621. The reversal of 506810616 is 616018605.

It is an interprime number because it is at equal distance from previous prime (506810611) and next prime (506810621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506810611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16111 + ... + 35681.

It is an arithmetic number, because the mean of its divisors is an integer number (21578130).

Almost surely, 2^506810616 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 506810616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690500160).

506810616 is an abundant number, since it is smaller than the sum of its proper divisors (874189704).

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

506810616 is a wasteful number, since it uses less digits than its factorization.

506810616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19676 (or 19672 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 506810616 is about 22512.4546862398. The cubic root of 506810616 is about 797.2880126277.

The spelling of 506810616 in words is "five hundred six million, eight hundred ten thousand, six hundred sixteen".