1000885200 has 480 divisors, whose sum is σ = 3994315776. Its totient is φ = 209018880.

The previous prime is 1000885199. The next prime is 1000885201. The reversal of 1000885200 is 25880001.

1000885200 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 (1000885199) and next prime (1000885201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000885201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6140319 + ... + 6140481.

Almost surely, 2^1000885200 is an apocalyptic number.

1000885200 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 1000885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997157888).

1000885200 is an abundant number, since it is smaller than the sum of its proper divisors (2993430576).

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

1000885200 is a wasteful number, since it uses less digits than its factorization.

1000885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1000885200 is about 31636.7697466097. The cubic root of 1000885200 is about 1000.2949796451.

The spelling of 1000885200 in words is "one billion, eight hundred eighty-five thousand, two hundred".