112627326 has 64 divisors (see below), whose sum is σ = 273600000. Its totient is φ = 30191616.

The previous prime is 112627321. The next prime is 112627327. The reversal of 112627326 is 623726211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112627293 and 112627302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112627321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89550 + ... + 90798.

It is an arithmetic number, because the mean of its divisors is an integer number (4275000).

Almost surely, 2^112627326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112627326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800000).

112627326 is an abundant number, since it is smaller than the sum of its proper divisors (160972674).

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

112627326 is a wasteful number, since it uses less digits than its factorization.

112627326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393.

The product of its digits is 6048, while the sum is 30.

The square root of 112627326 is about 10612.6022256561. The cubic root of 112627326 is about 482.9267449739.

The spelling of 112627326 in words is "one hundred twelve million, six hundred twenty-seven thousand, three hundred twenty-six".