87766068 has 96 divisors (see below), whose sum is σ = 234484992. Its totient is φ = 25344000.

The previous prime is 87766057. The next prime is 87766141. The reversal of 87766068 is 86066778.

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 31 ways as a sum of consecutive naturals, for example, 218668 + ... + 219068.

It is an arithmetic number, because the mean of its divisors is an integer number (2442552).

Almost surely, 2^87766068 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 87766068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117242496).

87766068 is an abundant number, since it is smaller than the sum of its proper divisors (146718924).

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

87766068 is a wasteful number, since it uses less digits than its factorization.

87766068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 87766068 is about 9368.3546047318. The cubic root of 87766068 is about 444.4015319031.

The spelling of 87766068 in words is "eighty-seven million, seven hundred sixty-six thousand, sixty-eight".