322416 has 30 divisors (see below), whose sum is σ = 902720. Its totient is φ = 107424.

The previous prime is 322409. The next prime is 322417. The reversal of 322416 is 614223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322417) by changing a digit.

322416 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 5 ways as a sum of consecutive naturals, for example, 976 + ... + 1263.

2³²²⁴¹⁶ is an apocalyptic number.

322416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

322416 is an abundant number, since it is smaller than the sum of its proper divisors (580304).

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

322416 is a wasteful number, since it uses less digits than its factorization.

322416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2244 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 322416 is about 567.8168718874. The cubic root of 322416 is about 68.5707440408.

Adding to 322416 its reverse (614223), we get a palindrome (936639).

It can be divided in two parts, 3224 and 16, that added together give a triangular number (3240 = T₈₀).

The spelling of 322416 in words is "three hundred twenty-two thousand, four hundred sixteen".