85580415 has 32 divisors (see below), whose sum is σ = 152985600. Its totient is φ = 45390240.

The previous prime is 85580359. The next prime is 85580423. The reversal of 85580415 is 51408558.

It is not a de Polignac number, because 85580415 - 2¹² = 85576319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85580415.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24126 + ... + 27444.

It is an arithmetic number, because the mean of its divisors is an integer number (4780800).

Almost surely, 2^85580415 is an apocalyptic number.

85580415 is a deficient number, since it is larger than the sum of its proper divisors (67405185).

85580415 is a wasteful number, since it uses less digits than its factorization.

85580415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 85580415 is about 9250.9683276941. The cubic root of 85580415 is about 440.6814766902.

The spelling of 85580415 in words is "eighty-five million, five hundred eighty thousand, four hundred fifteen".