123248640 has 224 divisors, whose sum is σ = 424647360. Its totient is φ = 30408704.

The previous prime is 123248639. The next prime is 123248641. The reversal of 123248640 is 46842321.

It is an interprime number because it is at equal distance from previous prime (123248639) and next prime (123248641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123248598 and 123248607.

It is not an unprimeable number, because it can be changed into a prime (123248641) 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, 2088931 + ... + 2088989.

Almost surely, 2^123248640 is an apocalyptic number.

123248640 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 123248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212323680).

123248640 is an abundant number, since it is smaller than the sum of its proper divisors (301398720).

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

123248640 is an equidigital number, since it uses as much as digits as its factorization.

123248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 123248640 is about 11101.7404040988. The cubic root of 123248640 is about 497.6538618233.

The spelling of 123248640 in words is "one hundred twenty-three million, two hundred forty-eight thousand, six hundred forty".