1284880 has 20 divisors (see below), whose sum is σ = 2987532. Its totient is φ = 513920.

The previous prime is 1284863. The next prime is 1284889. The reversal of 1284880 is 884821.

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 1115136 = 412^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1284880² = 3301833228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1284889) 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, 7951 + ... + 8110.

2^1284880 is an apocalyptic number.

1284880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284880 is an abundant number, since it is smaller than the sum of its proper divisors (1702652).

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

1284880 is a wasteful number, since it uses less digits than its factorization.

1284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16074 (or 16068 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1284880 is about 1133.5254739087. The cubic root of 1284880 is about 108.7145125765.

The spelling of 1284880 in words is "one million, two hundred eighty-four thousand, eight hundred eighty".