112301640 has 320 divisors, whose sum is σ = 432812160. Its totient is φ = 25850880.

The previous prime is 112301611. The next prime is 112301641. The reversal of 112301640 is 46103211.

It is a happy number.

112301640 is a `hidden beast` number, since 1 + 1 + 23 + 0 + 1 + 640 = 666.

It is a super-2 number, since 2×112301640² = 25223316693379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112301641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 819652 + ... + 819788.

It is an arithmetic number, because the mean of its divisors is an integer number (1352538).

Almost surely, 2^112301640 is an apocalyptic number.

112301640 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 112301640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216406080).

112301640 is an abundant number, since it is smaller than the sum of its proper divisors (320510520).

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

112301640 is a wasteful number, since it uses less digits than its factorization.

112301640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 112301640 is about 10597.2468122621. The cubic root of 112301640 is about 482.4608002374.

Adding to 112301640 its reverse (46103211), we get a palindrome (158404851).

The spelling of 112301640 in words is "one hundred twelve million, three hundred one thousand, six hundred forty".