1009600 has 42 divisors (see below), whose sum is σ = 2488184. Its totient is φ = 403200.

The previous prime is 1009573. The next prime is 1009601. The reversal of 1009600 is 69001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009601) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1285 + ... + 1915.

2^1009600 is an apocalyptic number.

1009600 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 1009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244092).

1009600 is an abundant number, since it is smaller than the sum of its proper divisors (1478584).

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

1009600 is an equidigital number, since it uses as much as digits as its factorization.

1009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1009600 is about 1004.7885349664. The cubic root of 1009600 is about 100.3189814266.

The spelling of 1009600 in words is "one million, nine thousand, six hundred".