87558816 has 48 divisors (see below), whose sum is σ = 233289504. Its totient is φ = 28748544.

The previous prime is 87558799. The next prime is 87558827. The reversal of 87558816 is 61885578.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 13238.

It is an arithmetic number, because the mean of its divisors is an integer number (4860198).

Almost surely, 2^87558816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87558816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116644752).

87558816 is an abundant number, since it is smaller than the sum of its proper divisors (145730688).

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

87558816 is a wasteful number, since it uses less digits than its factorization.

87558816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13693 (or 13685 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

The square root of 87558816 is about 9357.2867862431. The cubic root of 87558816 is about 444.0514508999.

It can be divided in two parts, 8755 and 8816, that added together give a palindrome (17571).

The spelling of 87558816 in words is "eighty-seven million, five hundred fifty-eight thousand, eight hundred sixteen".