85580409 has 8 divisors (see below), whose sum is σ = 114233760. Its totient is φ = 56990336.

The previous prime is 85580359. The next prime is 85580423. The reversal of 85580409 is 90408558.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85580409 - 2⁷ = 85580281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85581409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12567 + ... + 18140.

It is an arithmetic number, because the mean of its divisors is an integer number (14279220).

Almost surely, 2^85580409 is an apocalyptic number.

It is an amenable number.

85580409 is a deficient number, since it is larger than the sum of its proper divisors (28653351).

85580409 is a wasteful number, since it uses less digits than its factorization.

85580409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31639.

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85580409 is about 9250.9680034038. The cubic root of 85580409 is about 440.6814663916.

The spelling of 85580409 in words is "eighty-five million, five hundred eighty thousand, four hundred nine".