80568144 has 60 divisors (see below), whose sum is σ = 227253312. Its totient is φ = 26644800.

The previous prime is 80568143. The next prime is 80568167. The reversal of 80568144 is 44186508.

80568144 is a `hidden beast` number, since 80 + 568 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80568099 and 80568108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80568143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16729 + ... + 20999.

Almost surely, 2^80568144 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 80568144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113626656).

80568144 is an abundant number, since it is smaller than the sum of its proper divisors (146685168).

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

80568144 is a wasteful number, since it uses less digits than its factorization.

80568144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 80568144 is about 8975.9759357966. The cubic root of 80568144 is about 431.9045571044.

The spelling of 80568144 in words is "eighty million, five hundred sixty-eight thousand, one hundred forty-four".