87918816 has 48 divisors (see below), whose sum is σ = 232581888. Its totient is φ = 29078400.

The previous prime is 87918793. The next prime is 87918827. The reversal of 87918816 is 61881978.

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 a congruent number.

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, 9081 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (4845456).

Almost surely, 2^87918816 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 87918816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116290944).

87918816 is an abundant number, since it is smaller than the sum of its proper divisors (144663072).

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

87918816 is a wasteful number, since it uses less digits than its factorization.

87918816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7127 counting only the distinct ones).

The product of its digits is 193536, while the sum is 48.

The square root of 87918816 is about 9376.5033994555. The cubic root of 87918816 is about 444.6591945150.

The spelling of 87918816 in words is "eighty-seven million, nine hundred eighteen thousand, eight hundred sixteen".