68634 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 21600.

The previous prime is 68633. The next prime is 68639. The reversal of 68634 is 43686.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 68598 and 68607.

It is not an unprimeable number, because it can be changed into a prime (68633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁶⁸⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

68634 is an abundant number, since it is smaller than the sum of its proper divisors (92646).

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

68634 is a wasteful number, since it uses less digits than its factorization.

68634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 68634 is about 261.9809153354. The cubic root of 68634 is about 40.9430102522.

The spelling of 68634 in words is "sixty-eight thousand, six hundred thirty-four".