68992 has 48 divisors (see below), whose sum is σ = 174420. Its totient is φ = 26880.

The previous prime is 68963. The next prime is 68993. The reversal of 68992 is 29986.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68993) by changing a digit.

68992 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6267 + ... + 6277.

2⁶⁸⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87210).

68992 is an abundant number, since it is smaller than the sum of its proper divisors (105428).

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

68992 is a wasteful number, since it uses less digits than its factorization.

68992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 20 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 68992 is about 262.6632825501. The cubic root of 68992 is about 41.0140740895.

Subtracting from 68992 its product of digits (7776), we obtain a palindrome (61216).

It can be divided in two parts, 6 and 8992, that added together give a palindrome (8998).

The spelling of 68992 in words is "sixty-eight thousand, nine hundred ninety-two".