123630080 has 80 divisors (see below), whose sum is σ = 338817600. Its totient is φ = 42381312.

The previous prime is 123630053. The next prime is 123630097. The reversal of 123630080 is 80036321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14471 + ... + 21369.

It is an arithmetic number, because the mean of its divisors is an integer number (4235220).

Almost surely, 2^123630080 is an apocalyptic number.

123630080 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 123630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169408800).

123630080 is an abundant number, since it is smaller than the sum of its proper divisors (215187520).

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

123630080 is an frugal number, since it uses more digits than its factorization.

123630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 123630080 is about 11118.9064210470. The cubic root of 123630080 is about 498.1667264313.

The spelling of 123630080 in words is "one hundred twenty-three million, six hundred thirty thousand, eighty".