623000 has 64 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 211200.

The previous prime is 622997. The next prime is 623003. The reversal of 623000 is 326.

623000 = T₇₁ + T₇₂ + ... + T₁₅₉.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (622997) and next prime (623003).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 623000.

It is not an unprimeable number, because it can be changed into a prime (623003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6956 + ... + 7044.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2⁶²³⁰⁰⁰ 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 623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

623000 is an abundant number, since it is smaller than the sum of its proper divisors (1061800).

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

623000 is a wasteful number, since it uses less digits than its factorization.

623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 623000 is about 789.3034904268. The cubic root of 623000 is about 85.4075011647.

Adding to 623000 its reverse (326), we get a palindrome (623326).

The spelling of 623000 in words is "six hundred twenty-three thousand".