506068992 has 288 divisors, whose sum is σ = 1761600960. Its totient is φ = 141557760.

The previous prime is 506068991. The next prime is 506068999. The reversal of 506068992 is 299860605.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×506068992² = 512211649327792128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506068991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38928378 + ... + 38928390.

It is an arithmetic number, because the mean of its divisors is an integer number (6116670).

Almost surely, 2^506068992 is an apocalyptic number.

506068992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880800480).

506068992 is an abundant number, since it is smaller than the sum of its proper divisors (1255531968).

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

506068992 is an equidigital number, since it uses as much as digits as its factorization.

506068992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 506068992 is about 22495.9772403868. The cubic root of 506068992 is about 796.8989280566.

The spelling of 506068992 in words is "five hundred six million, sixty-eight thousand, nine hundred ninety-two".