80568576 has 243 divisors, whose sum is σ = 271240333. Its totient is φ = 22978560.

The previous prime is 80568511. The next prime is 80568577. The reversal of 80568576 is 67586508.

The square root of 80568576 is 8976.

It is a perfect power (a square), and thus also a powerful number.

80568576 is a `hidden beast` number, since 80 + 568 + 5 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 17842176 = 7920^2 + 4224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80568577) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4739320 + ... + 4739336.

Almost surely, 2^80568576 is an apocalyptic number.

80568576 is the 8976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80568576

80568576 is an abundant number, since it is smaller than the sum of its proper divisors (190671757).

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

80568576 is a wasteful number, since it uses less digits than its factorization.

80568576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The cubic root of 80568576 is about 431.9053290490.

The spelling of 80568576 in words is "eighty million, five hundred sixty-eight thousand, five hundred seventy-six".