123680 has 24 divisors (see below), whose sum is σ = 292572. Its totient is φ = 49408.

The previous prime is 123677. The next prime is 123701. The reversal of 123680 is 86321.

It can be written as a sum of positive squares in 2 ways, for example, as 110224 + 13456 = 332^2 + 116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 227 + ... + 546.

2¹²³⁶⁸⁰ is an apocalyptic number.

123680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123680 is an abundant number, since it is smaller than the sum of its proper divisors (168892).

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

123680 is an equidigital number, since it uses as much as digits as its factorization.

123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 123680 is about 351.6816742453. The cubic root of 123680 is about 49.8233768197.

The spelling of 123680 in words is "one hundred twenty-three thousand, six hundred eighty".