112965840 has 280 divisors, whose sum is σ = 426925800. Its totient is φ = 27620352.

The previous prime is 112965823. The next prime is 112965851. The reversal of 112965840 is 48569211.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 112021056 = 972^2 + 10584^2 .

It is a super-2 number, since 2×112965840² = 25522562013811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112965795 and 112965804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 758086 + ... + 758234.

It is an arithmetic number, because the mean of its divisors is an integer number (1524735).

Almost surely, 2^112965840 is an apocalyptic number.

112965840 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 112965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213462900).

112965840 is an abundant number, since it is smaller than the sum of its proper divisors (313959960).

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

112965840 is a wasteful number, since it uses less digits than its factorization.

112965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 112965840 is about 10628.5389400425. The cubic root of 112965840 is about 483.4100911257.

The spelling of 112965840 in words is "one hundred twelve million, nine hundred sixty-five thousand, eight hundred forty".