506000616 has 64 divisors (see below), whose sum is σ = 1400647680. Its totient is φ = 151039680.

The previous prime is 506000587. The next prime is 506000617. The reversal of 506000616 is 616000605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (506000617) 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, 3385 + ... + 31991.

It is an arithmetic number, because the mean of its divisors is an integer number (21885120).

Almost surely, 2^506000616 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 506000616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700323840).

506000616 is an abundant number, since it is smaller than the sum of its proper divisors (894647064).

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

506000616 is a wasteful number, since it uses less digits than its factorization.

506000616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28694 (or 28690 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 506000616 is about 22494.4574506699. The cubic root of 506000616 is about 796.8630362341.

The spelling of 506000616 in words is "five hundred six million, six hundred sixteen", and thus it is an aban number.