80585640 has 48 divisors (see below), whose sum is σ = 261904500. Its totient is φ = 21489408.

The previous prime is 80585587. The next prime is 80585663. The reversal of 80585640 is 4658508.

It is a happy number.

80585640 is a `hidden beast` number, since 8 + 0 + 5 + 8 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69255684 + 11329956 = 8322^2 + 3366^2 .

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 = 80585595 and 80585604.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 111565 + ... + 112284.

Almost surely, 2^80585640 is an apocalyptic number.

It is an amenable number.

80585640 is an abundant number, since it is smaller than the sum of its proper divisors (181318860).

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

80585640 is a wasteful number, since it uses less digits than its factorization.

80585640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223866 (or 223859 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 80585640 is about 8976.9504844351. The cubic root of 80585640 is about 431.9358186545.

It can be divided in two parts, 80585 and 640, that added together give a square (81225 = 285²).

The spelling of 80585640 in words is "eighty million, five hundred eighty-five thousand, six hundred forty".