284118960 has 160 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 70365184.

The previous prime is 284118941. The next prime is 284118979. The reversal of 284118960 is 69811482.

It is an interprime number because it is at equal distance from previous prime (284118941) and next prime (284118979).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338221 + ... + 339059.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2^284118960 is an apocalyptic number.

284118960 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 284118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

284118960 is an abundant number, since it is smaller than the sum of its proper divisors (660820560).

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

284118960 is a wasteful number, since it uses less digits than its factorization.

284118960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 284118960 is about 16855.8286654795. The cubic root of 284118960 is about 657.4056093928.

The spelling of 284118960 in words is "two hundred eighty-four million, one hundred eighteen thousand, nine hundred sixty".