112509640 has 64 divisors (see below), whose sum is σ = 267883200. Its totient is φ = 42409728.

The previous prime is 112509623. The next prime is 112509641. The reversal of 112509640 is 46905211.

It is a junction number, because it is equal to n+sod(n) for n = 112509599 and 112509608.

It is not an unprimeable number, because it can be changed into a prime (112509641) 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, 240687 + ... + 241153.

It is an arithmetic number, because the mean of its divisors is an integer number (4185675).

Almost surely, 2^112509640 is an apocalyptic number.

112509640 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 112509640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133941600).

112509640 is an abundant number, since it is smaller than the sum of its proper divisors (155373560).

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

112509640 is a wasteful number, since it uses less digits than its factorization.

112509640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 112509640 is about 10607.0561420217. The cubic root of 112509640 is about 482.7584805278.

The spelling of 112509640 in words is "one hundred twelve million, five hundred nine thousand, six hundred forty".