1009200 has 90 divisors (see below), whose sum is σ = 3348124. Its totient is φ = 259840.

The previous prime is 1009199. The next prime is 1009201. The reversal of 1009200 is 29001.

It is a happy number.

1009200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1009199) and next prime (1009201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1009201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34786 + ... + 34814.

2^1009200 is an apocalyptic number.

1009200 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 1009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674062).

1009200 is an abundant number, since it is smaller than the sum of its proper divisors (2338924).

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

1009200 is a wasteful number, since it uses less digits than its factorization.

1009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1009200 is about 1004.5894683899. The cubic root of 1009200 is about 100.3057309997.

Multiplying 1009200 by its sum of digits (12), we get a square (12110400 = 3480²).

1009200 divided by its sum of digits (12) gives a square (84100 = 290²).

The spelling of 1009200 in words is "one million, nine thousand, two hundred".