112065408 has 192 divisors, whose sum is σ = 397269600. Its totient is φ = 29528064.

The previous prime is 112065397. The next prime is 112065409. The reversal of 112065408 is 804560211.

112065408 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 654 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112065409) 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, 104298 + ... + 105366.

Almost surely, 2^112065408 is an apocalyptic number.

112065408 is a gapful number since it is divisible by the number (18) 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 112065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198634800).

112065408 is an abundant number, since it is smaller than the sum of its proper divisors (285204192).

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

112065408 is a wasteful number, since it uses less digits than its factorization.

112065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112065408 is about 10586.0950307467. The cubic root of 112065408 is about 482.1222694466.

The spelling of 112065408 in words is "one hundred twelve million, sixty-five thousand, four hundred eight".