123644052 has 108 divisors (see below), whose sum is σ = 376264980. Its totient is φ = 34094592.

The previous prime is 123644033. The next prime is 123644083. The reversal of 123644052 is 250446321.

123644052 is a `hidden beast` number, since 12 + 3 + 644 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99082116 + 24561936 = 9954^2 + 4956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49948 + ... + 52364.

It is an arithmetic number, because the mean of its divisors is an integer number (3483935).

Almost surely, 2^123644052 is an apocalyptic number.

123644052 is a gapful number since it is divisible by the number (12) 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 123644052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188132490).

123644052 is an abundant number, since it is smaller than the sum of its proper divisors (252620928).

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

123644052 is a wasteful number, since it uses less digits than its factorization.

123644052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 123644052 is about 11119.5347024954. The cubic root of 123644052 is about 498.1854924234.

The spelling of 123644052 in words is "one hundred twenty-three million, six hundred forty-four thousand, fifty-two".