123538320 has 120 divisors (see below), whose sum is σ = 439331256. Its totient is φ = 31002624.

The previous prime is 123538307. The next prime is 123538321. The reversal of 123538320 is 23835321.

123538320 is a `hidden beast` number, since 123 + 538 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25765776 + 97772544 = 5076^2 + 9888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (123538321) 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 23 ways as a sum of consecutive naturals, for example, 7194 + ... + 17286.

Almost surely, 2^123538320 is an apocalyptic number.

123538320 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 123538320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219665628).

123538320 is an abundant number, since it is smaller than the sum of its proper divisors (315792936).

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

123538320 is a wasteful number, since it uses less digits than its factorization.

123538320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 123538320 is about 11114.7793500366. The cubic root of 123538320 is about 498.0434471215.

The spelling of 123538320 in words is "one hundred twenty-three million, five hundred thirty-eight thousand, three hundred twenty".