123644960 has 48 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 49303296.

The previous prime is 123644959. The next prime is 123644993. The reversal of 123644960 is 69446321.

It is a super-2 number, since 2×123644960² = 30576152266803200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123644960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59621 + ... + 61659.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2^123644960 is an apocalyptic number.

123644960 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 123644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

123644960 is an abundant number, since it is smaller than the sum of its proper divisors (169380640).

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

123644960 is a wasteful number, since it uses less digits than its factorization.

123644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 123644960 is about 11119.5755314670. The cubic root of 123644960 is about 498.1867119222.

The spelling of 123644960 in words is "one hundred twenty-three million, six hundred forty-four thousand, nine hundred sixty".