123736320 has 216 divisors, whose sum is σ = 447685056. Its totient is φ = 31494144.

The previous prime is 123736309. The next prime is 123736321. The reversal of 123736320 is 23637321.

123736320 is a `hidden beast` number, since 1 + 23 + 7 + 3 + 632 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (123736321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264727 + ... + 265193.

It is an arithmetic number, because the mean of its divisors is an integer number (2072616).

Almost surely, 2^123736320 is an apocalyptic number.

123736320 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 123736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223842528).

123736320 is an abundant number, since it is smaller than the sum of its proper divisors (323948736).

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

123736320 is a wasteful number, since it uses less digits than its factorization.

123736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 123736320 is about 11123.6828433752. The cubic root of 123736320 is about 498.3093834072.

The spelling of 123736320 in words is "one hundred twenty-three million, seven hundred thirty-six thousand, three hundred twenty".