506515680 has 720 divisors, whose sum is σ = 2189935440. Its totient is φ = 109486080.

The previous prime is 506515657. The next prime is 506515771. The reversal of 506515680 is 86515605.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 26658711 + ... + 26658729.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 2^506515680 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 506515680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094967720).

506515680 is an abundant number, since it is smaller than the sum of its proper divisors (1683419760).

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

506515680 is a wasteful number, since it uses less digits than its factorization.

506515680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 506515680 is about 22505.9032255984. The cubic root of 506515680 is about 797.1333233090.

The spelling of 506515680 in words is "five hundred six million, five hundred fifteen thousand, six hundred eighty".