112584960 has 216 divisors, whose sum is σ = 404160120. Its totient is φ = 28901376.

The previous prime is 112584949. The next prime is 112584961. The reversal of 112584960 is 69485211.

112584960 is a `hidden beast` number, since 1 + 12 + 584 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 107495424 = 2256^2 + 10368^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112584961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333912 + ... + 334248.

Almost surely, 2^112584960 is an apocalyptic number.

112584960 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 112584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202080060).

112584960 is an abundant number, since it is smaller than the sum of its proper divisors (291575160).

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

112584960 is a wasteful number, since it uses less digits than its factorization.

112584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

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

The square root of 112584960 is about 10610.6060147383. The cubic root of 112584960 is about 482.8661846548.

The spelling of 112584960 in words is "one hundred twelve million, five hundred eighty-four thousand, nine hundred sixty".