1284816 has 80 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 376320.

The previous prime is 1284793. The next prime is 1284823. The reversal of 1284816 is 6184821.

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 15 ways as a sum of consecutive naturals, for example, 18061 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2^1284816 is an apocalyptic number.

1284816 is a gapful number since it is divisible by the number (16) 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 1284816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1284816 is an abundant number, since it is smaller than the sum of its proper divisors (2464944).

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

1284816 is a wasteful number, since it uses less digits than its factorization.

1284816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1284816 is about 1133.4972430491. The cubic root of 1284816 is about 108.7127075197.

The spelling of 1284816 in words is "one million, two hundred eighty-four thousand, eight hundred sixteen".