123658641 has 24 divisors (see below), whose sum is σ = 181958400. Its totient is φ = 80908800.

The previous prime is 123658589. The next prime is 123658763. The reversal of 123658641 is 146856321.

It is a happy number.

123658641 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 5 + 8 + 641 = 666.

It is not a de Polignac number, because 123658641 - 2¹⁹ = 123134353 is a prime.

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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123658596 and 123658605.

It is not an unprimeable number, because it can be changed into a prime (123658141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275185 + ... + 275633.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2^123658641 is an apocalyptic number.

It is an amenable number.

123658641 is a deficient number, since it is larger than the sum of its proper divisors (58299759).

123658641 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (123658640) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (954).

123658641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 954 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 123658641 is about 11120.1906908110. The cubic root of 123658641 is about 498.2050856083.

The spelling of 123658641 in words is "one hundred twenty-three million, six hundred fifty-eight thousand, six hundred forty-one".