516602016 has 192 divisors, whose sum is σ = 1734163200. Its totient is φ = 146562048.

The previous prime is 516601999. The next prime is 516602017. The reversal of 516602016 is 610206615.

It is a happy number.

516602016 is a `hidden beast` number, since 51 + 6 + 602 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (516602017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384806 + ... + 1385178.

It is an arithmetic number, because the mean of its divisors is an integer number (9032100).

Almost surely, 2^516602016 is an apocalyptic number.

516602016 is a gapful number since it is divisible by the number (56) 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 516602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867081600).

516602016 is an abundant number, since it is smaller than the sum of its proper divisors (1217561184).

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

516602016 is a wasteful number, since it uses less digits than its factorization.

516602016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 516602016 is about 22728.8806587566. The cubic root of 516602016 is about 802.3897376676.

The spelling of 516602016 in words is "five hundred sixteen million, six hundred two thousand, sixteen".