123676641 has 27 divisors (see below), whose sum is σ = 196945203. Its totient is φ = 74733120.

The previous prime is 123676627. The next prime is 123676669. The reversal of 123676641 is 146676321.

It is a happy number.

The square root of 123676641 is 11121.

It is a perfect power (a square), and thus also a powerful number.

123676641 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 7 + 6 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33350625 + 90326016 = 5775^2 + 9504^2 .

It is not a de Polignac number, because 123676641 - 2¹³ = 123668449 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 123676596 and 123676605.

It is not an unprimeable number, because it can be changed into a prime (123676691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 366825 + ... + 367161.

Almost surely, 2^123676641 is an apocalyptic number.

123676641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123676641 is the 11121-st square number.

123676641 is the 5561-st centered octagonal number.

It is an amenable number.

123676641 is a deficient number, since it is larger than the sum of its proper divisors (73268562).

123676641 is an equidigital number, since it uses as much as digits as its factorization.

123676641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 123676641 is about 498.2292576796.

Multiplying 123676641 by its sum of digits (36), we get a square (4452359076 = 66726²).

It can be divided in two parts, 1236 and 76641, that added together give a palindrome (77877).

The spelling of 123676641 in words is "one hundred twenty-three million, six hundred seventy-six thousand, six hundred forty-one".