406068 has 48 divisors (see below), whose sum is σ = 1081920. Its totient is φ = 117504.

The previous prime is 406067. The next prime is 406073. The reversal of 406068 is 860604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406067) 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, 2896 + ... + 3032.

It is an arithmetic number, because the mean of its divisors is an integer number (22540).

2⁴⁰⁶⁰⁶⁸ 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 406068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540960).

406068 is an abundant number, since it is smaller than the sum of its proper divisors (675852).

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

406068 is a wasteful number, since it uses less digits than its factorization.

406068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 406068 is about 637.2346506586. The cubic root of 406068 is about 74.0513400728.

The spelling of 406068 in words is "four hundred six thousand, sixty-eight".