1009891800 has 480 divisors, whose sum is σ = 3929547600. Its totient is φ = 238878720.

The previous prime is 1009891769. The next prime is 1009891879. The reversal of 1009891800 is 81989001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5232504 + ... + 5232696.

Almost surely, 2^1009891800 is an apocalyptic number.

1009891800 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 1009891800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964773800).

1009891800 is an abundant number, since it is smaller than the sum of its proper divisors (2919655800).

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

1009891800 is a wasteful number, since it uses less digits than its factorization.

1009891800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1009891800 is about 31778.7948166698. The cubic root of 1009891800 is about 1003.2864540543.

The spelling of 1009891800 in words is "one billion, nine million, eight hundred ninety-one thousand, eight hundred".