123540360 has 128 divisors (see below), whose sum is σ = 409639680. Its totient is φ = 29646848.

The previous prime is 123540341. The next prime is 123540367. The reversal of 123540360 is 63045321.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123540360.

It is not an unprimeable number, because it can be changed into a prime (123540367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45604 + ... + 48236.

It is an arithmetic number, because the mean of its divisors is an integer number (3200310).

Almost surely, 2^123540360 is an apocalyptic number.

123540360 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 123540360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204819840).

123540360 is an abundant number, since it is smaller than the sum of its proper divisors (286099320).

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

123540360 is a wasteful number, since it uses less digits than its factorization.

123540360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 123540360 is about 11114.8711193608. The cubic root of 123540360 is about 498.0461885193.

Adding to 123540360 its reverse (63045321), we get a palindrome (186585681).

The spelling of 123540360 in words is "one hundred twenty-three million, five hundred forty thousand, three hundred sixty".