87768384 has 112 divisors (see below), whose sum is σ = 262249920. Its totient is φ = 25661440.

The previous prime is 87768379. The next prime is 87768419. The reversal of 87768384 is 48386778.

It is a congruent number.

It is an unprimeable number.

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, 60532 + ... + 61964.

Almost surely, 2^87768384 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 87768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131124960).

87768384 is an abundant number, since it is smaller than the sum of its proper divisors (174481536).

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

87768384 is a wasteful number, since it uses less digits than its factorization.

87768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1478 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 87768384 is about 9368.4782115347. The cubic root of 87768384 is about 444.4054408735.

The spelling of 87768384 in words is "eighty-seven million, seven hundred sixty-eight thousand, three hundred eighty-four".