112853440 has 112 divisors (see below), whose sum is σ = 311334912. Its totient is φ = 38163456.

The previous prime is 112853437. The next prime is 112853449. The reversal of 112853440 is 44358211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 112853399 and 112853408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112853449) 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, 185617 + ... + 186223.

It is an arithmetic number, because the mean of its divisors is an integer number (2779776).

Almost surely, 2^112853440 is an apocalyptic number.

112853440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112853440 is the 5312-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

112853440 is an abundant number, since it is smaller than the sum of its proper divisors (198481472).

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

112853440 is an equidigital number, since it uses as much as digits as its factorization.

112853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 112853440 is about 10623.2499735251. The cubic root of 112853440 is about 483.2497083490.

The spelling of 112853440 in words is "one hundred twelve million, eight hundred fifty-three thousand, four hundred forty".