1284000 has 96 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 339200.

The previous prime is 1283983. The next prime is 1284007. The reversal of 1284000 is 4821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1284007) 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, 11947 + ... + 12053.

It is an arithmetic number, because the mean of its divisors is an integer number (44226).

2^1284000 is an apocalyptic number.

1284000 is a gapful number since it is divisible by the number (10) 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 1284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848).

1284000 is an abundant number, since it is smaller than the sum of its proper divisors (2961696).

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

1284000 is a wasteful number, since it uses less digits than its factorization.

1284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1284000 is about 1133.1372379372. The cubic root of 1284000 is about 108.6896877887.

Adding to 1284000 its reverse (4821), we get a palindrome (1288821).

It can be divided in two parts, 128 and 4000, that multiplied together give a cube (512000 = 80³).

The spelling of 1284000 in words is "one million, two hundred eighty-four thousand".