624080 has 40 divisors (see below), whose sum is σ = 1506600. Its totient is φ = 240128.

The previous prime is 624067. The next prime is 624089. The reversal of 624080 is 80426.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 620944 = 56^2 + 788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (624089) by changing a digit.

624080 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, 2186 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (37665).

2⁶²⁴⁰⁸⁰ 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 624080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753300).

624080 is an abundant number, since it is smaller than the sum of its proper divisors (882520).

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

624080 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (624079) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (305).

624080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 624080 is about 789.9873416707. The cubic root of 624080 is about 85.4568253229.

Adding to 624080 its sum of digits (20), we get a square (624100 = 790²).

The spelling of 624080 in words is "six hundred twenty-four thousand, eighty".