1284864 has 72 divisors (see below), whose sum is σ = 3924480. Its totient is φ = 365568.

The previous prime is 1284863. The next prime is 1284889. The reversal of 1284864 is 4684821.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1284863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5257 + ... + 5495.

2^1284864 is an apocalyptic number.

1284864 is a gapful number since it is divisible by the number (14) 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 1284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962240).

1284864 is an abundant number, since it is smaller than the sum of its proper divisors (2639616).

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

1284864 is an equidigital number, since it uses as much as digits as its factorization.

1284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 1284864 is about 1133.5184162597. The cubic root of 1284864 is about 108.7140613179.

The spelling of 1284864 in words is "one million, two hundred eighty-four thousand, eight hundred sixty-four".