624096 has 72 divisors (see below), whose sum is σ = 1945944. Its totient is φ = 188160.

The previous prime is 624089. The next prime is 624097. The reversal of 624096 is 690426.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (624097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3070 + ... + 3266.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2⁶²⁴⁰⁹⁶ is an apocalyptic number.

624096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 624096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972972).

624096 is an abundant number, since it is smaller than the sum of its proper divisors (1321848).

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

624096 is a wasteful number, since it uses less digits than its factorization.

624096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 624096 is about 789.9974683504. The cubic root of 624096 is about 85.4575556233.

It can be divided in two parts, 6240 and 96, that added together give a palindrome (6336).

The spelling of 624096 in words is "six hundred twenty-four thousand, ninety-six".