516931968 has 192 divisors, whose sum is σ = 1621408320. Its totient is φ = 145474560.

The previous prime is 516931951. The next prime is 516931979. The reversal of 516931968 is 869139615.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×516931968³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1561563 + ... + 1561893.

It is an arithmetic number, because the mean of its divisors is an integer number (8444835).

Almost surely, 2^516931968 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 516931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810704160).

516931968 is an abundant number, since it is smaller than the sum of its proper divisors (1104476352).

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

516931968 is a wasteful number, since it uses less digits than its factorization.

516931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 516931968 is about 22736.1379306161. The cubic root of 516931968 is about 802.5605292025.

The spelling of 516931968 in words is "five hundred sixteen million, nine hundred thirty-one thousand, nine hundred sixty-eight".