516040668 has 144 divisors (see below), whose sum is σ = 1559376000. Its totient is φ = 141816960.

The previous prime is 516040649. The next prime is 516040669. The reversal of 516040668 is 866040615.

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 (516040669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302883 + ... + 304581.

It is an arithmetic number, because the mean of its divisors is an integer number (10829000).

Almost surely, 2^516040668 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 516040668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779688000).

516040668 is an abundant number, since it is smaller than the sum of its proper divisors (1043335332).

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

516040668 is a wasteful number, since it uses less digits than its factorization.

516040668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 516040668 is about 22716.5285200006. The cubic root of 516040668 is about 802.0990025024.

The spelling of 516040668 in words is "five hundred sixteen million, forty thousand, six hundred sixty-eight".