516306168 has 192 divisors, whose sum is σ = 1651104000. Its totient is φ = 142718976.

The previous prime is 516306163. The next prime is 516306179. The reversal of 516306168 is 861603615.

It is a happy number.

516306168 is a `hidden beast` number, since 5 + 1 + 6 + 30 + 616 + 8 = 666.

It is a super-2 number, since 2×516306168² = 533144118229688448, which contains 22 as substring.

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 (516306163) 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, 2884303 + ... + 2884481.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2^516306168 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 516306168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

516306168 is an abundant number, since it is smaller than the sum of its proper divisors (1134797832).

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

516306168 is a wasteful number, since it uses less digits than its factorization.

516306168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 516306168 is about 22722.3715311584. The cubic root of 516306168 is about 802.2365373822.

The spelling of 516306168 in words is "five hundred sixteen million, three hundred six thousand, one hundred sixty-eight".