1009718892 has 216 divisors, whose sum is σ = 3300368400. Its totient is φ = 266063616.

The previous prime is 1009718867. The next prime is 1009718921. The reversal of 1009718892 is 2988179001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 893784 + ... + 894912.

Almost surely, 2^1009718892 is an apocalyptic number.

1009718892 is a gapful number since it is divisible by the number (12) 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 1009718892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650184200).

1009718892 is an abundant number, since it is smaller than the sum of its proper divisors (2290649508).

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

1009718892 is a wasteful number, since it uses less digits than its factorization.

1009718892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1009718892 is about 31776.0742068620. The cubic root of 1009718892 is about 1003.2291917629.

The spelling of 1009718892 in words is "one billion, nine million, seven hundred eighteen thousand, eight hundred ninety-two".