123456648 has 64 divisors (see below), whose sum is σ = 354384000. Its totient is φ = 35108352.

The previous prime is 123456647. The next prime is 123456667. The reversal of 123456648 is 846654321.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (123456647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36868 + ... + 40076.

It is an arithmetic number, because the mean of its divisors is an integer number (5537250).

Almost surely, 2^123456648 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 123456648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177192000).

123456648 is an abundant number, since it is smaller than the sum of its proper divisors (230927352).

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

123456648 is a wasteful number, since it uses less digits than its factorization.

123456648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3450 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 123456648 is about 11111.1047155537. The cubic root of 123456648 is about 497.9336696547.

The spelling of 123456648 in words is "one hundred twenty-three million, four hundred fifty-six thousand, six hundred forty-eight".