112008960 has 288 divisors, whose sum is σ = 455239680. Its totient is φ = 25546752.

The previous prime is 112008959. The next prime is 112008977. The reversal of 112008960 is 69800211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241689 + ... + 242151.

Almost surely, 2^112008960 is an apocalyptic number.

112008960 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 112008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227619840).

112008960 is an abundant number, since it is smaller than the sum of its proper divisors (343230720).

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

112008960 is an equidigital number, since it uses as much as digits as its factorization.

112008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112008960 is about 10583.4285560021. The cubic root of 112008960 is about 482.0413065844.

The spelling of 112008960 in words is "one hundred twelve million, eight thousand, nine hundred sixty".