506623104 has 96 divisors (see below), whose sum is σ = 1570050300. Its totient is φ = 155879424.

The previous prime is 506623099. The next prime is 506623141. The reversal of 506623104 is 401326605.

It can be written as a sum of positive squares in 2 ways, for example, as 503553600 + 3069504 = 22440^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1939 + ... + 31890.

Almost surely, 2^506623104 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 506623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785025150).

506623104 is an abundant number, since it is smaller than the sum of its proper divisors (1063427196).

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

506623104 is a wasteful number, since it uses less digits than its factorization.

506623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33862 (or 33847 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506623104 is about 22508.2896729183. The cubic root of 506623104 is about 797.1896724676.

Adding to 506623104 its reverse (401326605), we get a palindrome (907949709).

The spelling of 506623104 in words is "five hundred six million, six hundred twenty-three thousand, one hundred four".