278688 has 24 divisors (see below), whose sum is σ = 731808. Its totient is φ = 92864.

The previous prime is 278687. The next prime is 278689. The reversal of 278688 is 886872.

It is an interprime number because it is at equal distance from previous prime (278687) and next prime (278689).

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

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 278688.

It is not an unprimeable number, because it can be changed into a prime (278687) 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, 1356 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2²⁷⁸⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

278688 is an abundant number, since it is smaller than the sum of its proper divisors (453120).

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

278688 is a wasteful number, since it uses less digits than its factorization.

278688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2908 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 278688 is about 527.9090830815. The cubic root of 278688 is about 65.3189843077.

The spelling of 278688 in words is "two hundred seventy-eight thousand, six hundred eighty-eight".