506988 has 18 divisors (see below), whose sum is σ = 1281644. Its totient is φ = 168984.

The previous prime is 506983. The next prime is 506993. The reversal of 506988 is 889605.

506988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (506983) and next prime (506993).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14083 = 506988 / (5 + 0 + 6 + 9 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (506983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7006 + ... + 7077.

2⁵⁰⁶⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

506988 is an abundant number, since it is smaller than the sum of its proper divisors (774656).

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

506988 is a wasteful number, since it uses less digits than its factorization.

506988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14093 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 506988 is about 712.0308982060. The cubic root of 506988 is about 79.7381018862.

The spelling of 506988 in words is "five hundred six thousand, nine hundred eighty-eight".