506737008 has 60 divisors (see below), whose sum is σ = 1426926280. Its totient is φ = 167868288.

The previous prime is 506736991. The next prime is 506737009. The reversal of 506737008 is 800737605.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506737009) 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 11 ways as a sum of consecutive naturals, for example, 12678 + ... + 34266.

Almost surely, 2^506737008 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 506737008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713463140).

506737008 is an abundant number, since it is smaller than the sum of its proper divisors (920189272).

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

506737008 is a wasteful number, since it uses less digits than its factorization.

506737008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21766 (or 21757 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 506737008 is about 22510.8197984880. The cubic root of 506737008 is about 797.2494120041.

The spelling of 506737008 in words is "five hundred six million, seven hundred thirty-seven thousand, eight".