506537720 has 128 divisors (see below), whose sum is σ = 1303948800. Its totient is φ = 175550976.

The previous prime is 506537719. The next prime is 506537723. The reversal of 506537720 is 27735605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506537723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649807 + ... + 1650113.

It is an arithmetic number, because the mean of its divisors is an integer number (10187100).

Almost surely, 2^506537720 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 506537720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651974400).

506537720 is an abundant number, since it is smaller than the sum of its proper divisors (797411080).

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

506537720 is a wasteful number, since it uses less digits than its factorization.

506537720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 506537720 is about 22506.3928695826. The cubic root of 506537720 is about 797.1448850199.

The spelling of 506537720 in words is "five hundred six million, five hundred thirty-seven thousand, seven hundred twenty".