516973680 has 120 divisors (see below), whose sum is σ = 1773225792. Its totient is φ = 134917632.

The previous prime is 516973673. The next prime is 516973697. The reversal of 516973680 is 86379615.

It is a happy number.

516973680 is a `hidden beast` number, since 516 + 9 + 73 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26202 + ... + 41478.

Almost surely, 2^516973680 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 516973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886612896).

516973680 is an abundant number, since it is smaller than the sum of its proper divisors (1256252112).

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

516973680 is a wasteful number, since it uses less digits than its factorization.

516973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 516973680 is about 22737.0552182995. The cubic root of 516973680 is about 802.5821152180.

It can be divided in two parts, 516973 and 680, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 516973680 in words is "five hundred sixteen million, nine hundred seventy-three thousand, six hundred eighty".