80944560 has 240 divisors, whose sum is σ = 293835360. Its totient is φ = 19906560.

The previous prime is 80944547. The next prime is 80944561. The reversal of 80944560 is 6544908.

80944560 is a `hidden beast` number, since 8 + 0 + 94 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (80944561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834432 + ... + 834528.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^80944560 is an apocalyptic number.

80944560 is a gapful number since it is divisible by the number (80) 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 80944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146917680).

80944560 is an abundant number, since it is smaller than the sum of its proper divisors (212890800).

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

80944560 is a wasteful number, since it uses less digits than its factorization.

80944560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 80944560 is about 8996.9194727973. The cubic root of 80944560 is about 432.5761345917.

It can be divided in two parts, 809 and 44560, that added together give a square (45369 = 213²).

The spelling of 80944560 in words is "eighty million, nine hundred forty-four thousand, five hundred sixty".