1005200 has 60 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 343680.

The previous prime is 1005187. The next prime is 1005203. The reversal of 1005200 is 25001.

1005200 = T₁₇₅ + T₁₇₆ + ... + T₂₂₄.

1005200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1005203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2621 + ... + 2979.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2^1005200 is an apocalyptic number.

1005200 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 1005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

1005200 is an abundant number, since it is smaller than the sum of its proper divisors (1762480).

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

1005200 is a wasteful number, since it uses less digits than its factorization.

1005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1005200 is about 1002.5966287595. The cubic root of 1005200 is about 100.1730337538.

The spelling of 1005200 in words is "one million, five thousand, two hundred".