80945568 has 240 divisors, whose sum is σ = 276623424. Its totient is φ = 22947840.

The previous prime is 80945563. The next prime is 80945573. The reversal of 80945568 is 86554908.

80945568 is a `hidden beast` number, since 8 + 0 + 94 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (80945563) and next prime (80945573).

It is not an unprimeable number, because it can be changed into a prime (80945561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484621 + ... + 484787.

Almost surely, 2^80945568 is an apocalyptic number.

80945568 is a gapful number since it is divisible by the number (88) 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 80945568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311712).

80945568 is an abundant number, since it is smaller than the sum of its proper divisors (195677856).

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

80945568 is a wasteful number, since it uses less digits than its factorization.

80945568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 80945568 is about 8996.9754917972. The cubic root of 80945568 is about 432.5779302031.

The spelling of 80945568 in words is "eighty million, nine hundred forty-five thousand, five hundred sixty-eight".