87308 has 24 divisors (see below), whose sum is σ = 174048. Its totient is φ = 38016.

The previous prime is 87299. The next prime is 87313. The reversal of 87308 is 80378.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

87308 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 7 ways as a sum of consecutive naturals, for example, 1160 + ... + 1232.

It is an arithmetic number, because the mean of its divisors is an integer number (7252).

2⁸⁷³⁰⁸ is an apocalyptic number.

It is an amenable number.

87308 is a deficient number, since it is larger than the sum of its proper divisors (86740).

87308 is a wasteful number, since it uses less digits than its factorization.

87308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 87308 is about 295.4792716926. The cubic root of 87308 is about 44.3627043895.

It can be divided in two parts, 87 and 308, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 87308 in words is "eighty-seven thousand, three hundred eight".