627648 has 56 divisors (see below), whose sum is σ = 1901952. Its totient is φ = 178944.

The previous prime is 627643. The next prime is 627659. The reversal of 627648 is 846726.

It is a tau number, because it is divible by the number of its divisors (56).

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 (627643) by changing a digit.

627648 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, 1111 + ... + 1577.

2⁶²⁷⁶⁴⁸ 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 627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950976).

627648 is an abundant number, since it is smaller than the sum of its proper divisors (1274304).

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

627648 is a wasteful number, since it uses less digits than its factorization.

627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 627648 is about 792.2423871518. The cubic root of 627648 is about 85.6193743085.

It can be divided in two parts, 627 and 648, that added together give a triangular number (1275 = T₅₀).

The spelling of 627648 in words is "six hundred twenty-seven thousand, six hundred forty-eight".