627966 has 32 divisors (see below), whose sum is σ = 1447200. Its totient is φ = 201600.

The previous prime is 627961. The next prime is 627973. The reversal of 627966 is 669726.

It is a self number, because there is not a number n which added to its sum of digits gives 627966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627961) 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, 1366 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (45225).

2⁶²⁷⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723600).

627966 is an abundant number, since it is smaller than the sum of its proper divisors (819234).

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

627966 is a wasteful number, since it uses less digits than its factorization.

627966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 627966 is about 792.4430578912. The cubic root of 627966 is about 85.6338316498.

It can be divided in two parts, 6279 and 66, that multiplied together give a palindrome (414414).

The spelling of 627966 in words is "six hundred twenty-seven thousand, nine hundred sixty-six".