516640320 has 336 divisors, whose sum is σ = 2076297600. Its totient is φ = 117863424.

The previous prime is 516640291. The next prime is 516640321. The reversal of 516640320 is 23046615.

516640320 is a `hidden beast` number, since 5 + 16 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (516640321) 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, 987579 + ... + 988101.

Almost surely, 2^516640320 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 516640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038148800).

516640320 is an abundant number, since it is smaller than the sum of its proper divisors (1559657280).

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

516640320 is a wasteful number, since it uses less digits than its factorization.

516640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 516640320 is about 22729.7232715227. The cubic root of 516640320 is about 802.4095685213.

Adding to 516640320 its reverse (23046615), we get a palindrome (539686935).

The spelling of 516640320 in words is "five hundred sixteen million, six hundred forty thousand, three hundred twenty".