85580793 has 20 divisors (see below), whose sum is σ = 130821328. Its totient is φ = 55724760.

The previous prime is 85580791. The next prime is 85580819. The reversal of 85580793 is 39708558.

85580793 is a `hidden beast` number, since 8 + 558 + 0 + 7 + 93 = 666.

It is not a de Polignac number, because 85580793 - 2¹ = 85580791 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85580791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8803 + ... + 15768.

Almost surely, 2^85580793 is an apocalyptic number.

It is an amenable number.

85580793 is a deficient number, since it is larger than the sum of its proper divisors (45240535).

85580793 is a wasteful number, since it uses less digits than its factorization.

85580793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24626 (or 24617 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85580793 is about 9250.9887579653. The cubic root of 85580793 is about 440.6821255044.

The spelling of 85580793 in words is "eighty-five million, five hundred eighty thousand, seven hundred ninety-three".