87968 has 12 divisors (see below), whose sum is σ = 173250. Its totient is φ = 43968.

The previous prime is 87961. The next prime is 87973. The reversal of 87968 is 86978.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 2704 = 292^2 + 52^2 .

It is not an unprimeable number, because it can be changed into a prime (87961) by changing a digit.

87968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1343 + ... + 1406.

2⁸⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

87968 is a deficient number, since it is larger than the sum of its proper divisors (85282).

87968 is a wasteful number, since it uses less digits than its factorization.

87968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2751 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 87968 is about 296.5939985907. The cubic root of 87968 is about 44.4742096909.

Subtracting from 87968 its reverse (86978), we obtain a triangular number (990 = T₄₄).

The spelling of 87968 in words is "eighty-seven thousand, nine hundred sixty-eight".