80585712 has 80 divisors (see below), whose sum is σ = 244939680. Its totient is φ = 25279488.

The previous prime is 80585711. The next prime is 80585717. The reversal of 80585712 is 21758508.

80585712 is a `hidden beast` number, since 8 + 0 + 585 + 71 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80585711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858 + ... + 12830.

It is an arithmetic number, because the mean of its divisors is an integer number (3061746).

Almost surely, 2^80585712 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 80585712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122469840).

80585712 is an abundant number, since it is smaller than the sum of its proper divisors (164353968).

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

80585712 is a wasteful number, since it uses less digits than its factorization.

80585712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 80585712 is about 8976.9544947048. The cubic root of 80585712 is about 431.9359472935.

The spelling of 80585712 in words is "eighty million, five hundred eighty-five thousand, seven hundred twelve".