123033664 has 112 divisors (see below), whose sum is σ = 284764480. Its totient is φ = 52254720.

The previous prime is 123033653. The next prime is 123033667. The reversal of 123033664 is 466330321.

It is not an unprimeable number, because it can be changed into a prime (123033667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679654 + ... + 679834.

It is an arithmetic number, because the mean of its divisors is an integer number (2542540).

Almost surely, 2^123033664 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 123033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142382240).

123033664 is an abundant number, since it is smaller than the sum of its proper divisors (161730816).

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

123033664 is a wasteful number, since it uses less digits than its factorization.

123033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 123033664 is about 11092.0540929081. The cubic root of 123033664 is about 497.3643497744.

Adding to 123033664 its reverse (466330321), we get a palindrome (589363985).

The spelling of 123033664 in words is "one hundred twenty-three million, thirty-three thousand, six hundred sixty-four".