112069440 has 448 divisors, whose sum is σ = 482803200. Its totient is φ = 23887872.

The previous prime is 112069421. The next prime is 112069469. The reversal of 112069440 is 44960211.

112069440 is a `hidden beast` number, since 11 + 206 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028106 + ... + 1028214.

Almost surely, 2^112069440 is an apocalyptic number.

112069440 is a gapful number since it is divisible by the number (10) 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 112069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241401600).

112069440 is an abundant number, since it is smaller than the sum of its proper divisors (370733760).

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

112069440 is a wasteful number, since it uses less digits than its factorization.

112069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112069440 is about 10586.2854675283. The cubic root of 112069440 is about 482.1280514677.

The spelling of 112069440 in words is "one hundred twelve million, sixty-nine thousand, four hundred forty".