1005800 has 48 divisors (see below), whose sum is σ = 2410560. Its totient is φ = 390080.

The previous prime is 1005761. The next prime is 1005821. The reversal of 1005800 is 85001.

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 11 ways as a sum of consecutive naturals, for example, 9347 + ... + 9453.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2^1005800 is an apocalyptic number.

1005800 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 1005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280).

1005800 is an abundant number, since it is smaller than the sum of its proper divisors (1404760).

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

1005800 is a wasteful number, since it uses less digits than its factorization.

1005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1005800 is about 1002.8958071505. The cubic root of 1005800 is about 100.1929607553.

The spelling of 1005800 in words is "one million, five thousand, eight hundred".