1284800 has 84 divisors (see below), whose sum is σ = 3496056. Its totient is φ = 460800.

The previous prime is 1284793. The next prime is 1284823. The reversal of 1284800 is 84821.

It is a super-2 number, since 2×1284800² = 3301422080000, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17564 + ... + 17636.

2^1284800 is an apocalyptic number.

1284800 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 1284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748028).

1284800 is an abundant number, since it is smaller than the sum of its proper divisors (2211256).

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

1284800 is a wasteful number, since it uses less digits than its factorization.

1284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1284800 is about 1133.4901852244. The cubic root of 1284800 is about 108.7122562461.

The spelling of 1284800 in words is "one million, two hundred eighty-four thousand, eight hundred".