278112 has 24 divisors (see below), whose sum is σ = 730296. Its totient is φ = 92672.

The previous prime is 278111. The next prime is 278119. The reversal of 278112 is 211872.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1353 + ... + 1544.

It is an arithmetic number, because the mean of its divisors is an integer number (30429).

2²⁷⁸¹¹² is an apocalyptic number.

It is an amenable number.

278112 is an abundant number, since it is smaller than the sum of its proper divisors (452184).

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

278112 is a wasteful number, since it uses less digits than its factorization.

278112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2902 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 278112 is about 527.3632524172. The cubic root of 278112 is about 65.2739522463.

Adding to 278112 its reverse (211872), we get a palindrome (489984).

It can be divided in two parts, 27 and 8112, that multiplied together give a square (219024 = 468²).

The spelling of 278112 in words is "two hundred seventy-eight thousand, one hundred twelve".