123648000 has 384 divisors, whose sum is σ = 490613760. Its totient is φ = 27033600.

The previous prime is 123647999. The next prime is 123648001. The reversal of 123648000 is 846321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123647999) and next prime (123648001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123648001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375989 + ... + 5376011.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^123648000 is an apocalyptic number.

123648000 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 123648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

123648000 is an abundant number, since it is smaller than the sum of its proper divisors (366965760).

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

123648000 is an equidigital number, since it uses as much as digits as its factorization.

123648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 123648000 is about 11119.7122264922. The cubic root of 123648000 is about 498.1907947822.

The spelling of 123648000 in words is "one hundred twenty-three million, six hundred forty-eight thousand".