123647328 has 72 divisors (see below), whose sum is σ = 401860368. Its totient is φ = 35327232.

The previous prime is 123647309. The next prime is 123647339. The reversal of 123647328 is 823746321.

It is a happy number.

123647328 is a `hidden beast` number, since 1 + 2 + 3 + 647 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123647292 and 123647301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28651 + ... + 32682.

It is an arithmetic number, because the mean of its divisors is an integer number (5581394).

Almost surely, 2^123647328 is an apocalyptic number.

123647328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123647328 is an abundant number, since it is smaller than the sum of its proper divisors (278213040).

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

123647328 is a wasteful number, since it uses less digits than its factorization.

123647328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61356 (or 61345 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 123647328 is about 11119.6820098418. The cubic root of 123647328 is about 498.1898922610.

The spelling of 123647328 in words is "one hundred twenty-three million, six hundred forty-seven thousand, three hundred twenty-eight".