66623000 has 64 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 25075200.

The previous prime is 66622993. The next prime is 66623003. The reversal of 66623000 is 32666.

66623000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66623003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15041 + ... + 18959.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^66623000 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 66623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

66623000 is an abundant number, since it is smaller than the sum of its proper divisors (98487400).

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

66623000 is a wasteful number, since it uses less digits than its factorization.

66623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 66623000 is about 8162.2913449595. The cubic root of 66623000 is about 405.3915838731.

Adding to 66623000 its reverse (32666), we get a palindrome (66655666).

The spelling of 66623000 in words is "sixty-six million, six hundred twenty-three thousand".