112784940 has 96 divisors (see below), whose sum is σ = 352504320. Its totient is φ = 29937600.

The previous prime is 112784933. The next prime is 112784941. The reversal of 112784940 is 49487211.

It is a super-3 number, since 3×112784940³ (a number of 25 digits) contains 333 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 = 112784895 and 112784904.

It is not an unprimeable number, because it can be changed into a prime (112784941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178425 + ... + 179055.

It is an arithmetic number, because the mean of its divisors is an integer number (3671920).

Almost surely, 2^112784940 is an apocalyptic number.

112784940 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 112784940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176252160).

112784940 is an abundant number, since it is smaller than the sum of its proper divisors (239719380).

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

112784940 is a wasteful number, since it uses less digits than its factorization.

112784940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 112784940 is about 10620.0254236984. The cubic root of 112784940 is about 483.1519139446.

The spelling of 112784940 in words is "one hundred twelve million, seven hundred eighty-four thousand, nine hundred forty".