278886960 has 240 divisors, whose sum is σ = 1066860288. Its totient is φ = 64627200.

The previous prime is 278886953. The next prime is 278886967. The reversal of 278886960 is 69688872.

It is an interprime number because it is at equal distance from previous prime (278886953) and next prime (278886967).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 278886897 and 278886906.

It is not an unprimeable number, because it can be changed into a prime (278886967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181395 + ... + 182925.

Almost surely, 2^278886960 is an apocalyptic number.

278886960 is a gapful number since it is divisible by the number (20) 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 278886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533430144).

278886960 is an abundant number, since it is smaller than the sum of its proper divisors (787973328).

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

278886960 is a wasteful number, since it uses less digits than its factorization.

278886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 278886960 is about 16699.9089817879. The cubic root of 278886960 is about 653.3452471334.

The spelling of 278886960 in words is "two hundred seventy-eight million, eight hundred eighty-six thousand, nine hundred sixty".