123645360 has 80 divisors (see below), whose sum is σ = 395688960. Its totient is φ = 31906560.

The previous prime is 123645359. The next prime is 123645371. The reversal of 123645360 is 63546321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870 + ... + 15749.

It is an arithmetic number, because the mean of its divisors is an integer number (4946112).

Almost surely, 2^123645360 is an apocalyptic number.

123645360 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 123645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197844480).

123645360 is an abundant number, since it is smaller than the sum of its proper divisors (272043600).

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

123645360 is a wasteful number, since it uses less digits than its factorization.

123645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666 (or 16660 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 123645360 is about 11119.5935177505. The cubic root of 123645360 is about 498.1872491444.

The spelling of 123645360 in words is "one hundred twenty-three million, six hundred forty-five thousand, three hundred sixty".