123814260 has 144 divisors (see below), whose sum is σ = 405437760. Its totient is φ = 30481920.

The previous prime is 123814259. The next prime is 123814261. The reversal of 123814260 is 62418321.

123814260 is a `hidden beast` number, since 1 + 238 + 1 + 426 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123814259) and next prime (123814261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123814261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139779 + ... + 140661.

It is an arithmetic number, because the mean of its divisors is an integer number (2815540).

Almost surely, 2^123814260 is an apocalyptic number.

123814260 is a gapful number since it is divisible by the number (10) 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 123814260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202718880).

123814260 is an abundant number, since it is smaller than the sum of its proper divisors (281623500).

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

123814260 is a wasteful number, since it uses less digits than its factorization.

123814260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123814260 is about 11127.1856280014. The cubic root of 123814260 is about 498.4139877832.

It can be divided in two parts, 12381 and 4260, that added together give a square (16641 = 129²).

The spelling of 123814260 in words is "one hundred twenty-three million, eight hundred fourteen thousand, two hundred sixty".