1006036200 has 480 divisors, whose sum is σ = 3998415960. Its totient is φ = 232243200.

The previous prime is 1006036177. The next prime is 1006036231. The reversal of 1006036200 is 26306001.

It is a happy number.

1006036200 is a `hidden beast` number, since 1 + 0 + 0 + 603 + 62 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 83942244 + 922093956 = 9162^2 + 30366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3580060 + ... + 3580340.

Almost surely, 2^1006036200 is an apocalyptic number.

1006036200 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 1006036200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999207980).

1006036200 is an abundant number, since it is smaller than the sum of its proper divisors (2992379760).

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

1006036200 is a wasteful number, since it uses less digits than its factorization.

1006036200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1006036200 is about 31718.0737120021. The cubic root of 1006036200 is about 1002.0080317761.

The spelling of 1006036200 in words is "one billion, six million, thirty-six thousand, two hundred".