1284140 has 48 divisors (see below), whose sum is σ = 3175200. Its totient is φ = 430080.

The previous prime is 1284131. The next prime is 1284169. The reversal of 1284140 is 414821.

1284140 = T₅₆ + T₅₇ + ... + T₁₉₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2636 + ... + 3084.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

2^1284140 is an apocalyptic number.

1284140 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 1284140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600).

1284140 is an abundant number, since it is smaller than the sum of its proper divisors (1891060).

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

1284140 is a wasteful number, since it uses less digits than its factorization.

1284140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1284140 is about 1133.1990116480. The cubic root of 1284140 is about 108.6936379453.

Adding to 1284140 its reverse (414821), we get a palindrome (1698961).

The spelling of 1284140 in words is "one million, two hundred eighty-four thousand, one hundred forty".