422016 has 64 divisors (see below), whose sum is σ = 1289280. Its totient is φ = 119808.

The previous prime is 421997. The next prime is 422029. The reversal of 422016 is 610224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 421986 and 422004.

It is a congruent number.

It is an unprimeable number.

422016 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, 2610 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (20145).

2⁴²²⁰¹⁶ 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 422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644640).

422016 is an abundant number, since it is smaller than the sum of its proper divisors (867264).

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

422016 is a wasteful number, since it uses less digits than its factorization.

422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 422016 is about 649.6275856212. The cubic root of 422016 is about 75.0083546249.

The spelling of 422016 in words is "four hundred twenty-two thousand, sixteen".