123795936 has 144 divisors (see below), whose sum is σ = 400982400. Its totient is φ = 35861760.

The previous prime is 123795871. The next prime is 123795937. The reversal of 123795936 is 639597321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 123795891 and 123795900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123795937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72015 + ... + 73713.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^123795936 is an apocalyptic number.

123795936 is a gapful number since it is divisible by the number (16) 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 123795936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

123795936 is an abundant number, since it is smaller than the sum of its proper divisors (277186464).

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

123795936 is a wasteful number, since it uses less digits than its factorization.

123795936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1738 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 123795936 is about 11126.3622087365. The cubic root of 123795936 is about 498.3893988317.

The spelling of 123795936 in words is "one hundred twenty-three million, seven hundred ninety-five thousand, nine hundred thirty-six".