1022800 has 30 divisors (see below), whose sum is σ = 2458238. Its totient is φ = 408960.

The previous prime is 1022797. The next prime is 1022821. The reversal of 1022800 is 82201.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 976144 = 216^2 + 988^2 .

It is a super-2 number, since 2×1022800² = 2092239680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879 + ... + 1678.

2^1022800 is an apocalyptic number.

1022800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022800 is an abundant number, since it is smaller than the sum of its proper divisors (1435438).

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

1022800 is a wasteful number, since it uses less digits than its factorization.

1022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022800 is about 1011.3357503816. The cubic root of 1022800 is about 100.7542960689.

The spelling of 1022800 in words is "one million, twenty-two thousand, eight hundred".