516827040 has 192 divisors, whose sum is σ = 1718599680. Its totient is φ = 130360320.

The previous prime is 516827033. The next prime is 516827053. The reversal of 516827040 is 40728615.

It is a super-2 number, since 2×516827040² = 534220378550323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 516826992 and 516827010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698991 + ... + 699729.

It is an arithmetic number, because the mean of its divisors is an integer number (8951040).

Almost surely, 2^516827040 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 516827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859299840).

516827040 is an abundant number, since it is smaller than the sum of its proper divisors (1201772640).

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

516827040 is a wasteful number, since it uses less digits than its factorization.

516827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 516827040 is about 22733.8302975983. The cubic root of 516827040 is about 802.5062236879.

The spelling of 516827040 in words is "five hundred sixteen million, eight hundred twenty-seven thousand, forty".