123642336 has 96 divisors (see below), whose sum is σ = 337236480. Its totient is φ = 39638016.

The previous prime is 123642331. The next prime is 123642359. The reversal of 123642336 is 633246321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123642331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302100 + ... + 302508.

It is an arithmetic number, because the mean of its divisors is an integer number (3512880).

Almost surely, 2^123642336 is an apocalyptic number.

123642336 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 123642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168618240).

123642336 is an abundant number, since it is smaller than the sum of its proper divisors (213594144).

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

123642336 is a wasteful number, since it uses less digits than its factorization.

123642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 123642336 is about 11119.4575407256. The cubic root of 123642336 is about 498.1831877155.

Adding to 123642336 its reverse (633246321), we get a palindrome (756888657).

The spelling of 123642336 in words is "one hundred twenty-three million, six hundred forty-two thousand, three hundred thirty-six".