626561440 has 48 divisors (see below), whose sum is σ = 1486485000. Its totient is φ = 249569280.

The previous prime is 626561407. The next prime is 626561449. The reversal of 626561440 is 44165626.

It can be written as a sum of positive squares in 4 ways, for example, as 577729296 + 48832144 = 24036^2 + 6988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 626561396 and 626561405.

It is not an unprimeable number, because it can be changed into a prime (626561449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30436 + ... + 46684.

Almost surely, 2^626561440 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 626561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743242500).

626561440 is an abundant number, since it is smaller than the sum of its proper divisors (859923560).

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

626561440 is a wasteful number, since it uses less digits than its factorization.

626561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16505 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 626561440 is about 25031.2093195674. The cubic root of 626561440 is about 855.6993878482.

The spelling of 626561440 in words is "six hundred twenty-six million, five hundred sixty-one thousand, four hundred forty".