506637120 has 112 divisors (see below), whose sum is σ = 1754843328. Its totient is φ = 122818560.

The previous prime is 506637119. The next prime is 506637127. The reversal of 506637120 is 21736605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506637127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13429 + ... + 34548.

It is an arithmetic number, because the mean of its divisors is an integer number (15668244).

Almost surely, 2^506637120 is an apocalyptic number.

It is an amenable number.

506637120 is an abundant number, since it is smaller than the sum of its proper divisors (1248206208).

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

506637120 is a wasteful number, since it uses less digits than its factorization.

506637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48008 (or 47998 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 506637120 is about 22508.6010227202. The cubic root of 506637120 is about 797.1970239598.

The spelling of 506637120 in words is "five hundred six million, six hundred thirty-seven thousand, one hundred twenty".