123613560 has 256 divisors, whose sum is σ = 479001600. Its totient is φ = 27772416.

The previous prime is 123613549. The next prime is 123613561. The reversal of 123613560 is 65316321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123613561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627382 + ... + 627578.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^123613560 is an apocalyptic number.

123613560 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 123613560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

123613560 is an abundant number, since it is smaller than the sum of its proper divisors (355388040).

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

123613560 is a wasteful number, since it uses less digits than its factorization.

123613560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 123613560 is about 11118.1635174160. The cubic root of 123613560 is about 498.1445363599.

Adding to 123613560 its reverse (65316321), we get a palindrome (188929881).

The spelling of 123613560 in words is "one hundred twenty-three million, six hundred thirteen thousand, five hundred sixty".