624104 has 32 divisors (see below), whose sum is σ = 1338120. Its totient is φ = 270336.

The previous prime is 624097. The next prime is 624119. The reversal of 624104 is 401426.

624104 = 107² + 108² + ... + 145².

It can be written as a sum of positive squares in 4 ways, for example, as 487204 + 136900 = 698^2 + 370^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

624104 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, 1592 + ... + 1944.

2⁶²⁴¹⁰⁴ 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 624104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669060).

624104 is an abundant number, since it is smaller than the sum of its proper divisors (714016).

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

624104 is a wasteful number, since it uses less digits than its factorization.

624104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 624104 is about 790.0025316415. The cubic root of 624104 is about 85.4579207688.

The spelling of 624104 in words is "six hundred twenty-four thousand, one hundred four".