516616704 has 100 divisors (see below), whose sum is σ = 1542088614. Its totient is φ = 172191744.

The previous prime is 516616703. The next prime is 516616739. The reversal of 516616704 is 407616615.

It can be written as a sum of positive squares in only one way, i.e., 366799104 + 149817600 = 19152^2 + 12240^2 .

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (516616703) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 35244 + ... + 47700.

Almost surely, 2^516616704 is an apocalyptic number.

516616704 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 516616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771044307).

516616704 is an abundant number, since it is smaller than the sum of its proper divisors (1025471910).

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

516616704 is an equidigital number, since it uses as much as digits as its factorization.

516616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 516616704 is about 22729.2037696000. The cubic root of 516616704 is about 802.3973420958.

The spelling of 516616704 in words is "five hundred sixteen million, six hundred sixteen thousand, seven hundred four".