123553680 has 80 divisors (see below), whose sum is σ = 386612160. Its totient is φ = 32638464.

The previous prime is 123553673. The next prime is 123553681. The reversal of 123553680 is 86355321.

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

It is not an unprimeable number, because it can be changed into a prime (123553681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23799 + ... + 28521.

It is an arithmetic number, because the mean of its divisors is an integer number (4832652).

Almost surely, 2^123553680 is an apocalyptic number.

123553680 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 123553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193306080).

123553680 is an abundant number, since it is smaller than the sum of its proper divisors (263058480).

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

123553680 is a wasteful number, since it uses less digits than its factorization.

123553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 123553680 is about 11115.4703004416. The cubic root of 123553680 is about 498.0640874926.

The spelling of 123553680 in words is "one hundred twenty-three million, five hundred fifty-three thousand, six hundred eighty".