86578401 has 32 divisors (see below), whose sum is σ = 143503360. Its totient is φ = 45209664.

The previous prime is 86578397. The next prime is 86578423. The reversal of 86578401 is 10487568.

It is not a de Polignac number, because 86578401 - 2² = 86578397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 86578401.

It is not an unprimeable number, because it can be changed into a prime (86578451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26580 + ... + 29658.

It is an arithmetic number, because the mean of its divisors is an integer number (4484480).

Almost surely, 2^86578401 is an apocalyptic number.

It is an amenable number.

86578401 is a deficient number, since it is larger than the sum of its proper divisors (56924959).

86578401 is a wasteful number, since it uses less digits than its factorization.

86578401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205.

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 86578401 is about 9304.7515281172. The cubic root of 86578401 is about 442.3878460697.

The spelling of 86578401 in words is "eighty-six million, five hundred seventy-eight thousand, four hundred one".