501583680 has 168 divisors, whose sum is σ = 1858088232. Its totient is φ = 123457536.

The previous prime is 501583651. The next prime is 501583703. The reversal of 501583680 is 86385105.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 486467136 = 3888^2 + 22056^2 .

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 23 ways as a sum of consecutive naturals, for example, 30742 + ... + 44138.

It is an arithmetic number, because the mean of its divisors is an integer number (11060049).

Almost surely, 2^501583680 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 501583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929044116).

501583680 is an abundant number, since it is smaller than the sum of its proper divisors (1356504552).

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

501583680 is a wasteful number, since it uses less digits than its factorization.

501583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 501583680 is about 22396.0639398980. The cubic root of 501583680 is about 794.5376212438.

The spelling of 501583680 in words is "five hundred one million, five hundred eighty-three thousand, six hundred eighty".