123003648 has 108 divisors (see below), whose sum is σ = 357765408. Its totient is φ = 40642560.

The previous prime is 123003641. The next prime is 123003659. The reversal of 123003648 is 846300321.

It is a happy number.

123003648 is a `hidden beast` number, since 12 + 3 + 0 + 0 + 3 + 648 = 666.

It is not an unprimeable number, because it can be changed into a prime (123003641) 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 11 ways as a sum of consecutive naturals, for example, 453753 + ... + 454023.

Almost surely, 2^123003648 is an apocalyptic number.

123003648 is a gapful number since it is divisible by the number (18) 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 123003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178882704).

123003648 is an abundant number, since it is smaller than the sum of its proper divisors (234761760).

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

123003648 is a wasteful number, since it uses less digits than its factorization.

123003648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123003648 is about 11090.7009697314. The cubic root of 123003648 is about 497.3238998627.

Adding to 123003648 its reverse (846300321), we get a palindrome (969303969).

The spelling of 123003648 in words is "one hundred twenty-three million, three thousand, six hundred forty-eight".