87559605 has 96 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 37029888.

The previous prime is 87559573. The next prime is 87559609. The reversal of 87559605 is 50695578.

It is not a de Polignac number, because 87559605 - 2⁵ = 87559573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87559609) 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 95 ways as a sum of consecutive naturals, for example, 444367 + ... + 444563.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^87559605 is an apocalyptic number.

87559605 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87559605 is an abundant number, since it is smaller than the sum of its proper divisors (99251019).

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

87559605 is a wasteful number, since it uses less digits than its factorization.

87559605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 87559605 is about 9357.3289458050. The cubic root of 87559605 is about 444.0527846911.

The spelling of 87559605 in words is "eighty-seven million, five hundred fifty-nine thousand, six hundred five".