516900096 has 288 divisors, whose sum is σ = 1668885120. Its totient is φ = 157188096.

The previous prime is 516900077. The next prime is 516900133. The reversal of 516900096 is 690009615.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 516900096.

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 31 ways as a sum of consecutive naturals, for example, 6227671 + ... + 6227753.

It is an arithmetic number, because the mean of its divisors is an integer number (5794740).

Almost surely, 2^516900096 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 516900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834442560).

516900096 is an abundant number, since it is smaller than the sum of its proper divisors (1151985024).

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

516900096 is a wasteful number, since it uses less digits than its factorization.

516900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 516900096 is about 22735.4370092154. The cubic root of 516900096 is about 802.5440346175.

The spelling of 516900096 in words is "five hundred sixteen million, nine hundred thousand, ninety-six".