112279680 has 192 divisors, whose sum is σ = 393583320. Its totient is φ = 29491200.

The previous prime is 112279669. The next prime is 112279691. The reversal of 112279680 is 86972211.

It is an interprime number because it is at equal distance from previous prime (112279669) and next prime (112279691).

It can be written as a sum of positive squares in 4 ways, for example, as 102090816 + 10188864 = 10104^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581664 + ... + 581856.

Almost surely, 2^112279680 is an apocalyptic number.

112279680 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 112279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196791660).

112279680 is an abundant number, since it is smaller than the sum of its proper divisors (281303640).

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

112279680 is a wasteful number, since it uses less digits than its factorization.

112279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 112279680 is about 10596.2106434329. The cubic root of 112279680 is about 482.4293506230.

The spelling of 112279680 in words is "one hundred twelve million, two hundred seventy-nine thousand, six hundred eighty".