270112 has 24 divisors (see below), whose sum is σ = 556416. Its totient is φ = 128832.

The previous prime is 270097. The next prime is 270121. The reversal of 270112 is 211072.

270112 = T₅₈ + T₅₉ + ... + T₁₂₁.

It is a junction number, because it is equal to n+sod(n) for n = 270092 and 270101.

It is a congruent number.

It is an unprimeable number.

270112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2²⁷⁰¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208).

270112 is an abundant number, since it is smaller than the sum of its proper divisors (286304).

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

270112 is a wasteful number, since it uses less digits than its factorization.

270112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 270112 is about 519.7230031469. The cubic root of 270112 is about 64.6419763798.

Adding to 270112 its reverse (211072), we get a palindrome (481184).

The spelling of 270112 in words is "two hundred seventy thousand, one hundred twelve", and thus it is an iban number.