123116664 has 64 divisors (see below), whose sum is σ = 338826240. Its totient is φ = 36968960.

The previous prime is 123116659. The next prime is 123116689. The reversal of 123116664 is 466611321.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27769 + ... + 31895.

It is an arithmetic number, because the mean of its divisors is an integer number (5294160).

Almost surely, 2^123116664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123116664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169413120).

123116664 is an abundant number, since it is smaller than the sum of its proper divisors (215709576).

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

123116664 is a wasteful number, since it uses less digits than its factorization.

123116664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4256 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 123116664 is about 11095.7948791423. The cubic root of 123116664 is about 497.4761673052.

Adding to 123116664 its reverse (466611321), we get a palindrome (589727985).

The spelling of 123116664 in words is "one hundred twenty-three million, one hundred sixteen thousand, six hundred sixty-four".