1284768 has 48 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 427968.

The previous prime is 1284763. The next prime is 1284769. The reversal of 1284768 is 8674821.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1284763) 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, 121 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2^1284768 is an apocalyptic number.

1284768 is a gapful number since it is divisible by the number (18) 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 1284768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1284768 is an abundant number, since it is smaller than the sum of its proper divisors (2464992).

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

1284768 is a wasteful number, since it uses less digits than its factorization.

1284768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1492 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1284768 is about 1133.4760694430. The cubic root of 1284768 is about 108.7113536877.

The spelling of 1284768 in words is "one million, two hundred eighty-four thousand, seven hundred sixty-eight".