123366264 has 64 divisors (see below), whose sum is σ = 353683200. Its totient is φ = 35126784.

The previous prime is 123366247. The next prime is 123366289. The reversal of 123366264 is 462663321.

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, 55527 + ... + 57705.

It is an arithmetic number, because the mean of its divisors is an integer number (5526300).

Almost surely, 2^123366264 is an apocalyptic number.

123366264 is a gapful number since it is divisible by the number (14) 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 123366264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176841600).

123366264 is an abundant number, since it is smaller than the sum of its proper divisors (230316936).

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

123366264 is a wasteful number, since it uses less digits than its factorization.

123366264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 123366264 is about 11107.0366885142. The cubic root of 123366264 is about 497.8121257094.

The spelling of 123366264 in words is "one hundred twenty-three million, three hundred sixty-six thousand, two hundred sixty-four".