1284192 has 144 divisors (see below), whose sum is σ = 4586400. Its totient is φ = 338688.

The previous prime is 1284187. The next prime is 1284209. The reversal of 1284192 is 2914821.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98778 + ... + 98790.

It is an arithmetic number, because the mean of its divisors is an integer number (31850).

2^1284192 is an apocalyptic number.

1284192 is a gapful number since it is divisible by the number (12) 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 1284192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293200).

1284192 is an abundant number, since it is smaller than the sum of its proper divisors (3302208).

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

1284192 is a wasteful number, since it uses less digits than its factorization.

1284192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 25 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1284192 is about 1133.2219553115. The cubic root of 1284192 is about 108.6951050732.

The spelling of 1284192 in words is "one million, two hundred eighty-four thousand, one hundred ninety-two".