123560640 has 336 divisors, whose sum is σ = 505919232. Its totient is φ = 28118016.

The previous prime is 123560627. The next prime is 123560651. The reversal of 123560640 is 46065321.

123560640 is a `hidden beast` number, since 12 + 3 + 5 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 544207 + ... + 544433.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^123560640 is an apocalyptic number.

123560640 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 123560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

123560640 is an abundant number, since it is smaller than the sum of its proper divisors (382358592).

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

123560640 is an equidigital number, since it uses as much as digits as its factorization.

123560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 123560640 is about 11115.7833732041. The cubic root of 123560640 is about 498.0734395976.

The spelling of 123560640 in words is "one hundred twenty-three million, five hundred sixty thousand, six hundred forty".