123817680 has 320 divisors, whose sum is σ = 514252800. Its totient is φ = 26749440.

The previous prime is 123817669. The next prime is 123817703. The reversal of 123817680 is 86718321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 287065 + ... + 287495.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^123817680 is an apocalyptic number.

123817680 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 123817680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

123817680 is an abundant number, since it is smaller than the sum of its proper divisors (390435120).

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

123817680 is a wasteful number, since it uses less digits than its factorization.

123817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 123817680 is about 11127.3393046137. The cubic root of 123817680 is about 498.4185768080.

The spelling of 123817680 in words is "one hundred twenty-three million, eight hundred seventeen thousand, six hundred eighty".