123456680 has 64 divisors (see below), whose sum is σ = 297302400. Its totient is φ = 45999360.

The previous prime is 123456677. The next prime is 123456691. The reversal of 123456680 is 86654321.

It is a self number, because there is not a number n which added to its sum of digits gives 123456680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45029 + ... + 47691.

It is an arithmetic number, because the mean of its divisors is an integer number (4645350).

Almost surely, 2^123456680 is an apocalyptic number.

123456680 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 123456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148651200).

123456680 is an abundant number, since it is smaller than the sum of its proper divisors (173845720).

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

123456680 is a wasteful number, since it uses less digits than its factorization.

123456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 123456680 is about 11111.1061555545. The cubic root of 123456680 is about 497.9337126762.

The spelling of 123456680 in words is "one hundred twenty-three million, four hundred fifty-six thousand, six hundred eighty".