278064960 has 112 divisors (see below), whose sum is σ = 888772416. Its totient is φ = 73654272.

The previous prime is 278064959. The next prime is 278064967. The reversal of 278064960 is 69460872.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278064967) 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, 155592 + ... + 157368.

It is an arithmetic number, because the mean of its divisors is an integer number (7935468).

Almost surely, 2^278064960 is an apocalyptic number.

278064960 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 278064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444386208).

278064960 is an abundant number, since it is smaller than the sum of its proper divisors (610707456).

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

278064960 is a wasteful number, since it uses less digits than its factorization.

278064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 278064960 is about 16675.2799076957. The cubic root of 278064960 is about 652.7027188275.

The spelling of 278064960 in words is "two hundred seventy-eight million, sixty-four thousand, nine hundred sixty".