516145608 has 96 divisors (see below), whose sum is σ = 1581521760. Its totient is φ = 156401280.

The previous prime is 516145601. The next prime is 516145639. The reversal of 516145608 is 806541615.

516145608 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 45 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (516145601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9316 + ... + 33452.

It is an arithmetic number, because the mean of its divisors is an integer number (16474185).

Almost surely, 2^516145608 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 516145608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790760880).

516145608 is an abundant number, since it is smaller than the sum of its proper divisors (1065376152).

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

516145608 is a wasteful number, since it uses less digits than its factorization.

516145608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24169 (or 24153 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 516145608 is about 22718.8381745194. The cubic root of 516145608 is about 802.1533693831.

The spelling of 516145608 in words is "five hundred sixteen million, one hundred forty-five thousand, six hundred eight".