627968 has 36 divisors (see below), whose sum is σ = 1373568. Its totient is φ = 284160.

The previous prime is 627961. The next prime is 627973. The reversal of 627968 is 869726.

It is a d-powerful number, because it can be written as 6⁷ + 2¹³ + 9⁵ + 7³ + 6⁷ + 8³ .

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

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 3 ways as a sum of consecutive naturals, for example, 2705 + ... + 2927.

2⁶²⁷⁹⁶⁸ 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 627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686784).

627968 is an abundant number, since it is smaller than the sum of its proper divisors (745600).

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

627968 is a wasteful number, since it uses less digits than its factorization.

627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 627968 is about 792.4443198105. Note that the first 3 decimals coincide. The cubic root of 627968 is about 85.6339225611.

The spelling of 627968 in words is "six hundred twenty-seven thousand, nine hundred sixty-eight".