123688192 has 72 divisors (see below), whose sum is σ = 265012776. Its totient is φ = 57409536.

The previous prime is 123688183. The next prime is 123688193. The reversal of 123688192 is 291886321.

It can be written as a sum of positive squares in 4 ways, for example, as 62473216 + 61214976 = 7904^2 + 7824^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123688193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421998 + ... + 422290.

It is an arithmetic number, because the mean of its divisors is an integer number (3680733).

Almost surely, 2^123688192 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 123688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132506388).

123688192 is an abundant number, since it is smaller than the sum of its proper divisors (141324584).

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

123688192 is an equidigital number, since it uses as much as digits as its factorization.

123688192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 123688192 is about 11121.5193206684. The cubic root of 123688192 is about 498.2447681994.

The spelling of 123688192 in words is "one hundred twenty-three million, six hundred eighty-eight thousand, one hundred ninety-two".