123084360 has 288 divisors, whose sum is σ = 481815360. Its totient is φ = 27713664.

The previous prime is 123084349. The next prime is 123084421. The reversal of 123084360 is 63480321.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 1837047 + ... + 1837113.

It is an arithmetic number, because the mean of its divisors is an integer number (1672970).

Almost surely, 2^123084360 is an apocalyptic number.

123084360 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 123084360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240907680).

123084360 is an abundant number, since it is smaller than the sum of its proper divisors (358731000).

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

123084360 is an frugal number, since it uses more digits than its factorization.

123084360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123084360 is about 11094.3390970350. The cubic root of 123084360 is about 497.4326533585.

The spelling of 123084360 in words is "one hundred twenty-three million, eighty-four thousand, three hundred sixty".