87126585 has 128 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 33868800.

The previous prime is 87126583. The next prime is 87126607. The reversal of 87126585 is 58562178.

It is not a de Polignac number, because 87126585 - 2¹ = 87126583 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (87126583) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1227100 + ... + 1227170.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^87126585 is an apocalyptic number.

It is an amenable number.

87126585 is an abundant number, since it is smaller than the sum of its proper divisors (98667975).

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

87126585 is a wasteful number, since it uses less digits than its factorization.

87126585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its digits is 134400, while the sum is 42.

The square root of 87126585 is about 9334.1622548572. The cubic root of 87126585 is about 443.3195638339.

The spelling of 87126585 in words is "eighty-seven million, one hundred twenty-six thousand, five hundred eighty-five".