1020800 has 96 divisors (see below), whose sum is σ = 2845800. Its totient is φ = 358400.

The previous prime is 1020797. The next prime is 1020821. The reversal of 1020800 is 80201.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent 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, 35186 + ... + 35214.

2^1020800 is an apocalyptic number.

1020800 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 1020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422900).

1020800 is an abundant number, since it is smaller than the sum of its proper divisors (1825000).

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

1020800 is a wasteful number, since it uses less digits than its factorization.

1020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1020800 is about 1010.3464752252. The cubic root of 1020800 is about 100.6885810123.

The spelling of 1020800 in words is "one million, twenty thousand, eight hundred".