5629440 has 80 divisors (see below), whose sum is σ = 18021168. Its totient is φ = 1499136.

The previous prime is 5629417. The next prime is 5629441. The reversal of 5629440 is 449265.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5629398 and 5629407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7314 + ... + 8046.

Almost surely, 2^5629440 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 5629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010584).

5629440 is an abundant number, since it is smaller than the sum of its proper divisors (12391728).

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

5629440 is an equidigital number, since it uses as much as digits as its factorization.

5629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5629440 is about 2372.6440946758. The cubic root of 5629440 is about 177.8914458256.

The spelling of 5629440 in words is "five million, six hundred twenty-nine thousand, four hundred forty".