1006305200 has 120 divisors (see below), whose sum is σ = 2553184800. Its totient is φ = 380385280.

The previous prime is 1006305199. The next prime is 1006305211. The reversal of 1006305200 is 25036001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818186 + ... + 819414.

It is an arithmetic number, because the mean of its divisors is an integer number (21276540).

Almost surely, 2^1006305200 is an apocalyptic number.

1006305200 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 1006305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276592400).

1006305200 is an abundant number, since it is smaller than the sum of its proper divisors (1546879600).

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

1006305200 is a wasteful number, since it uses less digits than its factorization.

1006305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1006305200 is about 31722.3139130802. The cubic root of 1006305200 is about 1002.0973314588.

The spelling of 1006305200 in words is "one billion, six million, three hundred five thousand, two hundred".