123556680 has 192 divisors, whose sum is σ = 458181360. Its totient is φ = 28606464.

The previous prime is 123556651. The next prime is 123556703. The reversal of 123556680 is 86655321.

123556680 is a `hidden beast` number, since 1 + 23 + 556 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22071204 + 101485476 = 4698^2 + 10074^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78784 + ... + 80336.

Almost surely, 2^123556680 is an apocalyptic number.

123556680 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 123556680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229090680).

123556680 is an abundant number, since it is smaller than the sum of its proper divisors (334624680).

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

123556680 is a wasteful number, since it uses less digits than its factorization.

123556680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 123556680 is about 11115.6052466791. The cubic root of 123556680 is about 498.0681186154.

The spelling of 123556680 in words is "one hundred twenty-three million, five hundred fifty-six thousand, six hundred eighty".