278964 has 72 divisors (see below), whose sum is σ = 856128. Its totient is φ = 77760.

The previous prime is 278947. The next prime is 278981. The reversal of 278964 is 469872.

It is an interprime number because it is at equal distance from previous prime (278947) and next prime (278981).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

278964 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 23 ways as a sum of consecutive naturals, for example, 6784 + ... + 6824.

278964 is a Friedman number, since it can be written as 6^7-9^2*(8+4), using all its digits and the basic arithmetic operations.

2²⁷⁸⁹⁶⁴ 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 278964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064).

278964 is an abundant number, since it is smaller than the sum of its proper divisors (577164).

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

278964 is a wasteful number, since it uses less digits than its factorization.

278964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 278964 is about 528.1704270404. The cubic root of 278964 is about 65.3405401833.

The spelling of 278964 in words is "two hundred seventy-eight thousand, nine hundred sixty-four".