68620 has 24 divisors (see below), whose sum is σ = 149184. Its totient is φ = 26496.

The previous prime is 68611. The next prime is 68633. The reversal of 68620 is 2686.

It is a super-3 number, since 3×68620³ = 969333887784000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68591 and 68600.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 904 + ... + 976.

It is an arithmetic number, because the mean of its divisors is an integer number (6216).

2⁶⁸⁶²⁰ is an apocalyptic number.

It is an amenable number.

68620 is an abundant number, since it is smaller than the sum of its proper divisors (80564).

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 (74592).

68620 is a wasteful number, since it uses less digits than its factorization.

68620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 68620 is about 261.9541944692. The cubic root of 68620 is about 40.9402262039.

Adding to 68620 its product of nonzero digits (576), we get a palindrome (69196).

The spelling of 68620 in words is "sixty-eight thousand, six hundred twenty".