89968 has 10 divisors (see below), whose sum is σ = 174344. Its totient is φ = 44976.

The previous prime is 89963. The next prime is 89977. The reversal of 89968 is 86998.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2796 + ... + 2827.

2⁸⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

89968 is a deficient number, since it is larger than the sum of its proper divisors (84376).

89968 is a wasteful number, since it uses less digits than its factorization.

89968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5625 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 89968 is about 299.9466619251. The cubic root of 89968 is about 44.8087355414.

The spelling of 89968 in words is "eighty-nine thousand, nine hundred sixty-eight".