1006200 has 144 divisors (see below), whose sum is σ = 3723720. Its totient is φ = 241920.

The previous prime is 1006193. The next prime is 1006217. The reversal of 1006200 is 26001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23379 + ... + 23421.

2^1006200 is an apocalyptic number.

1006200 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 1006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861860).

1006200 is an abundant number, since it is smaller than the sum of its proper divisors (2717520).

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

1006200 is a wasteful number, since it uses less digits than its factorization.

1006200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1006200 is about 1003.0952098380. The cubic root of 1006200 is about 100.2062410207.

The spelling of 1006200 in words is "one million, six thousand, two hundred".