627440 has 80 divisors (see below), whose sum is σ = 1714176. Its totient is φ = 211200.

The previous prime is 627433. The next prime is 627449. The reversal of 627440 is 44726.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627449) 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, 20225 + ... + 20255.

2⁶²⁷⁴⁴⁰ 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 627440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088).

627440 is an abundant number, since it is smaller than the sum of its proper divisors (1086736).

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

627440 is a wasteful number, since it uses less digits than its factorization.

627440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 627440 is about 792.1111033182. Note that the first 4 decimals coincide. The cubic root of 627440 is about 85.6099152925.

It can be divided in two parts, 62 and 7440, that multiplied together give a triangular number (461280 = T₉₆₀).

The spelling of 627440 in words is "six hundred twenty-seven thousand, four hundred forty".