278208 has 112 divisors (see below), whose sum is σ = 975360. Its totient is φ = 76032.

The previous prime is 278207. The next prime is 278209. The reversal of 278208 is 802872.

It is an interprime number because it is at equal distance from previous prime (278207) and next prime (278209).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (278207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12085 + ... + 12107.

2²⁷⁸²⁰⁸ is an apocalyptic number.

278208 is a gapful number since it is divisible by the number (28) 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 278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680).

278208 is an abundant number, since it is smaller than the sum of its proper divisors (697152).

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

278208 is a wasteful number, since it uses less digits than its factorization.

278208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 278208 is about 527.4542634201. The cubic root of 278208 is about 65.2814619050.

It can be divided in two parts, 2 and 78208, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 278208 in words is "two hundred seventy-eight thousand, two hundred eight".