506011968 has 224 divisors, whose sum is σ = 1855134720. Its totient is φ = 131397120.

The previous prime is 506011967. The next prime is 506011973. The reversal of 506011968 is 869110605.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×506011968³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (506011967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131155 + ... + 134957.

Almost surely, 2^506011968 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 506011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927567360).

506011968 is an abundant number, since it is smaller than the sum of its proper divisors (1349122752).

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

506011968 is a wasteful number, since it uses less digits than its factorization.

506011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 506011968 is about 22494.7097780789. The cubic root of 506011968 is about 796.8689953319.

The spelling of 506011968 in words is "five hundred six million, eleven thousand, nine hundred sixty-eight".