627216 has 40 divisors (see below), whose sum is σ = 1651680. Its totient is φ = 205056.

The previous prime is 627197. The next prime is 627217. The reversal of 627216 is 612726.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 627216.

It is not an unprimeable number, because it can be changed into a prime (627217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3415 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (41292).

2⁶²⁷²¹⁶ 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 627216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825840).

627216 is an abundant number, since it is smaller than the sum of its proper divisors (1024464).

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

627216 is a wasteful number, since it uses less digits than its factorization.

627216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 627216 is about 791.9696963900. The cubic root of 627216 is about 85.5997263217.

The spelling of 627216 in words is "six hundred twenty-seven thousand, two hundred sixteen".