87208 has 16 divisors (see below), whose sum is σ = 178560. Its totient is φ = 39600.

The previous prime is 87187. The next prime is 87211. The reversal of 87208 is 80278.

It is an unprimeable number.

87208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 408 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2⁸⁷²⁰⁸ is an apocalyptic number.

87208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

87208 is an abundant number, since it is smaller than the sum of its proper divisors (91352).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

87208 is a wasteful number, since it uses less digits than its factorization.

87208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 87208 is about 295.3100066032. The cubic root of 87208 is about 44.3457606759.

The spelling of 87208 in words is "eighty-seven thousand, two hundred eight".