516834864 has 160 divisors (see below), whose sum is σ = 1825994240. Its totient is φ = 136297728.

The previous prime is 516834841. The next prime is 516834869. The reversal of 516834864 is 468438615.

516834864 is a `hidden beast` number, since 5 + 168 + 3 + 486 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (516834869) 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, 32739 + ... + 45885.

It is an arithmetic number, because the mean of its divisors is an integer number (11412464).

Almost surely, 2^516834864 is an apocalyptic number.

516834864 is a gapful number since it is divisible by the number (54) 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 516834864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912997120).

516834864 is an abundant number, since it is smaller than the sum of its proper divisors (1309159376).

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

516834864 is a wasteful number, since it uses less digits than its factorization.

516834864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13184 (or 13172 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 516834864 is about 22734.0023752968. The cubic root of 516834864 is about 802.5102732548.

The spelling of 516834864 in words is "five hundred sixteen million, eight hundred thirty-four thousand, eight hundred sixty-four".