87683160 has 64 divisors (see below), whose sum is σ = 264372480. Its totient is φ = 23264640.

The previous prime is 87683143. The next prime is 87683171. The reversal of 87683160 is 6138678.

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, 23589 + ... + 27051.

It is an arithmetic number, because the mean of its divisors is an integer number (4130820).

Almost surely, 2^87683160 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 87683160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132186240).

87683160 is an abundant number, since it is smaller than the sum of its proper divisors (176689320).

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

87683160 is a wasteful number, since it uses less digits than its factorization.

87683160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87683160 is about 9363.9286626928. The cubic root of 87683160 is about 444.2615535462.

The spelling of 87683160 in words is "eighty-seven million, six hundred eighty-three thousand, one hundred sixty".