123328640 has 64 divisors (see below), whose sum is σ = 297285120. Its totient is φ = 48921600.

The previous prime is 123328631. The next prime is 123328643. The reversal of 123328640 is 46823321.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (123328643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83105 + ... + 84575.

It is an arithmetic number, because the mean of its divisors is an integer number (4645080).

Almost surely, 2^123328640 is an apocalyptic number.

123328640 is a gapful number since it is divisible by the number (10) 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 123328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148642560).

123328640 is an abundant number, since it is smaller than the sum of its proper divisors (173956480).

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

123328640 is a wasteful number, since it uses less digits than its factorization.

123328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 123328640 is about 11105.3428582822. The cubic root of 123328640 is about 497.7615133102.

The spelling of 123328640 in words is "one hundred twenty-three million, three hundred twenty-eight thousand, six hundred forty".