87505064 has 64 divisors (see below), whose sum is σ = 183168000. Its totient is φ = 39103680.

The previous prime is 87505063. The next prime is 87505123. The reversal of 87505064 is 46050578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87505063) 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 15 ways as a sum of consecutive naturals, for example, 2822729 + ... + 2822759.

It is an arithmetic number, because the mean of its divisors is an integer number (2862000).

Almost surely, 2^87505064 is an apocalyptic number.

It is an amenable number.

87505064 is an abundant number, since it is smaller than the sum of its proper divisors (95662936).

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

87505064 is a wasteful number, since it uses less digits than its factorization.

87505064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 87505064 is about 9354.4141452044. The cubic root of 87505064 is about 443.9605651744.

The spelling of 87505064 in words is "eighty-seven million, five hundred five thousand, sixty-four".