123680520 has 160 divisors (see below), whose sum is σ = 423403200. Its totient is φ = 32372352.

The previous prime is 123680507. The next prime is 123680539. The reversal of 123680520 is 25086321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190837 + ... + 191483.

It is an arithmetic number, because the mean of its divisors is an integer number (2646270).

Almost surely, 2^123680520 is an apocalyptic number.

123680520 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 123680520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211701600).

123680520 is an abundant number, since it is smaller than the sum of its proper divisors (299722680).

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

123680520 is a wasteful number, since it uses less digits than its factorization.

123680520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 123680520 is about 11121.1743984167. The cubic root of 123680520 is about 498.2344664537.

The spelling of 123680520 in words is "one hundred twenty-three million, six hundred eighty thousand, five hundred twenty".