68892 has 12 divisors (see below), whose sum is σ = 160776. Its totient is φ = 22960.

The previous prime is 68891. The next prime is 68897. The reversal of 68892 is 29886.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×68892² = 9492215328, which contains 22 as substring.

It is an Ulam number.

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 (68891) by changing a digit.

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, 2859 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (13398).

2⁶⁸⁸⁹² is an apocalyptic number.

It is an amenable number.

68892 is an abundant number, since it is smaller than the sum of its proper divisors (91884).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80388).

68892 is a wasteful number, since it uses less digits than its factorization.

68892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5746 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 68892 is about 262.4728557394. The cubic root of 68892 is about 40.9942486479.

It can be divided in two parts, 688 and 92, that added together give a triangular number (780 = T₃₉).

The spelling of 68892 in words is "sixty-eight thousand, eight hundred ninety-two".