112631040 has 144 divisors (see below), whose sum is σ = 399806400. Its totient is φ = 30025728.

The previous prime is 112631027. The next prime is 112631047. The reversal of 112631040 is 40136211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112631047) 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, 32931 + ... + 36189.

Almost surely, 2^112631040 is an apocalyptic number.

112631040 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 112631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199903200).

112631040 is an abundant number, since it is smaller than the sum of its proper divisors (287175360).

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

112631040 is an equidigital number, since it uses as much as digits as its factorization.

112631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3269 counting only the distinct ones).

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

The square root of 112631040 is about 10612.7772048602. Note that the first 3 decimals coincide. The cubic root of 112631040 is about 482.9320532482.

Adding to 112631040 its reverse (40136211), we get a palindrome (152767251).

The spelling of 112631040 in words is "one hundred twelve million, six hundred thirty-one thousand, forty".