87686784 has 96 divisors (see below), whose sum is σ = 255122400. Its totient is φ = 28905984.

The previous prime is 87686779. The next prime is 87686791. The reversal of 87686784 is 48768678.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 87686784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118287 + ... + 119025.

It is an arithmetic number, because the mean of its divisors is an integer number (2657525).

Almost surely, 2^87686784 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 87686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127561200).

87686784 is an abundant number, since it is smaller than the sum of its proper divisors (167435616).

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

87686784 is a wasteful number, since it uses less digits than its factorization.

87686784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 847 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 87686784 is about 9364.1221692159. The cubic root of 87686784 is about 444.2676739981.

The spelling of 87686784 in words is "eighty-seven million, six hundred eighty-six thousand, seven hundred eighty-four".