123681648 has 80 divisors (see below), whose sum is σ = 331291296. Its totient is φ = 39736320.

The previous prime is 123681643. The next prime is 123681667. The reversal of 123681648 is 846186321.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123681643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154786 + ... + 155582.

Almost surely, 2^123681648 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 123681648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165645648).

123681648 is an abundant number, since it is smaller than the sum of its proper divisors (207609648).

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

123681648 is a wasteful number, since it uses less digits than its factorization.

123681648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 123681648 is about 11121.2251123696. The cubic root of 123681648 is about 498.2359811271.

The spelling of 123681648 in words is "one hundred twenty-three million, six hundred eighty-one thousand, six hundred forty-eight".