506088 has 80 divisors (see below), whose sum is σ = 1568160. Its totient is φ = 151200.

The previous prime is 506083. The next prime is 506101. The reversal of 506088 is 880605.

506088 is a `hidden beast` number, since 50 + 608 + 8 = 666.

It is a super-2 number, since 2×506088² = 512250127488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (506083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7093 + ... + 7163.

It is an arithmetic number, because the mean of its divisors is an integer number (19602).

2⁵⁰⁶⁰⁸⁸ 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 506088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784080).

506088 is an abundant number, since it is smaller than the sum of its proper divisors (1062072).

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

506088 is a wasteful number, since it uses less digits than its factorization.

506088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 506088 is about 711.3986224333. The cubic root of 506088 is about 79.6908905132.

The spelling of 506088 in words is "five hundred six thousand, eighty-eight".