68420 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 24800.

The previous prime is 68399. The next prime is 68437. The reversal of 68420 is 2486.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 68392 and 68401.

It is an unprimeable number.

68420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁶⁸⁴²⁰ 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 68420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

68420 is an abundant number, since it is smaller than the sum of its proper divisors (88828).

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

68420 is a wasteful number, since it uses less digits than its factorization.

68420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 68420 is about 261.5721697735. The cubic root of 68420 is about 40.9004126747.

The spelling of 68420 in words is "sixty-eight thousand, four hundred twenty".