623200 has 72 divisors (see below), whose sum is σ = 1640520. Its totient is φ = 230400.

The previous prime is 623171. The next prime is 623209. The reversal of 623200 is 2326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623209) by changing a digit.

623200 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 11 ways as a sum of consecutive naturals, for example, 15180 + ... + 15220.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2⁶²³²⁰⁰ 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 623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820260).

623200 is an abundant number, since it is smaller than the sum of its proper divisors (1017320).

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

623200 is a wasteful number, since it uses less digits than its factorization.

623200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 623200 is about 789.4301742396. The cubic root of 623200 is about 85.4166395664.

Adding to 623200 its reverse (2326), we get a palindrome (625526).

The spelling of 623200 in words is "six hundred twenty-three thousand, two hundred".