123676560 has 240 divisors, whose sum is σ = 484683264. Its totient is φ = 27675648.

The previous prime is 123676559. The next prime is 123676583. The reversal of 123676560 is 65676321.

123676560 is a `hidden beast` number, since 1 + 23 + 6 + 76 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 266889 + ... + 267351.

Almost surely, 2^123676560 is an apocalyptic number.

123676560 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 123676560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242341632).

123676560 is an abundant number, since it is smaller than the sum of its proper divisors (361006704).

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

123676560 is a wasteful number, since it uses less digits than its factorization.

123676560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 123676560 is about 11120.9963582406. The cubic root of 123676560 is about 498.2291489105.

The spelling of 123676560 in words is "one hundred twenty-three million, six hundred seventy-six thousand, five hundred sixty".