1001968200 has 144 divisors (see below), whose sum is σ = 3375648900. Its totient is φ = 266342400.

The previous prime is 1001968171. The next prime is 1001968207. The reversal of 1001968200 is 28691001.

1001968200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 422795844 + 579172356 = 20562^2 + 24066^2 .

It is a super-2 number, since 2×1001968200² = 2007880547622480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001968207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 735520 + ... + 736880.

Almost surely, 2^1001968200 is an apocalyptic number.

1001968200 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 1001968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687824450).

1001968200 is an abundant number, since it is smaller than the sum of its proper divisors (2373680700).

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

1001968200 is a wasteful number, since it uses less digits than its factorization.

1001968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1001968200 is about 31653.8812786047. The cubic root of 1001968200 is about 1000.6556367132.

The spelling of 1001968200 in words is "one billion, one million, nine hundred sixty-eight thousand, two hundred".