87368 has 16 divisors (see below), whose sum is σ = 167280. Its totient is φ = 42768.

The previous prime is 87359. The next prime is 87383. The reversal of 87368 is 86378.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87368.

It is an unprimeable 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, 455 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (10455).

2⁸⁷³⁶⁸ is an apocalyptic number.

It is an amenable number.

87368 is a deficient number, since it is larger than the sum of its proper divisors (79912).

87368 is a wasteful number, since it uses less digits than its factorization.

87368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 87368 is about 295.5807842198. The cubic root of 87368 is about 44.3728644082.

Subtracting from 87368 its reverse (86378), we obtain a triangular number (990 = T₄₄).

The spelling of 87368 in words is "eighty-seven thousand, three hundred sixty-eight".