506109960 has 96 divisors (see below), whose sum is σ = 1669487040. Its totient is φ = 132941952.

The previous prime is 506109953. The next prime is 506109971. The reversal of 506109960 is 69901605.

506109960 is a `hidden beast` number, since 506 + 1 + 0 + 99 + 60 = 666.

It is a super-2 number, since 2×506109960² = 512294583222403200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13629 + ... + 34611.

It is an arithmetic number, because the mean of its divisors is an integer number (17390490).

Almost surely, 2^506109960 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 506109960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834743520).

506109960 is an abundant number, since it is smaller than the sum of its proper divisors (1163377080).

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

506109960 is a wasteful number, since it uses less digits than its factorization.

506109960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21067 (or 21060 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 506109960 is about 22496.8877847581. The cubic root of 506109960 is about 796.9204313660.

The spelling of 506109960 in words is "five hundred six million, one hundred nine thousand, nine hundred sixty".