516672576 has 168 divisors, whose sum is σ = 1707530240. Its totient is φ = 146313216.

The previous prime is 516672571. The next prime is 516672587. The reversal of 516672576 is 675276615.

516672576 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 72 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (516672571) 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, 511560 + ... + 512568.

Almost surely, 2^516672576 is an apocalyptic number.

516672576 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 516672576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853765120).

516672576 is an abundant number, since it is smaller than the sum of its proper divisors (1190857664).

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

516672576 is a wasteful number, since it uses less digits than its factorization.

516672576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1148 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 516672576 is about 22730.4328159408. The cubic root of 516672576 is about 802.4262674273.

The spelling of 516672576 in words is "five hundred sixteen million, six hundred seventy-two thousand, five hundred seventy-six".