1009096800 has 72 divisors (see below), whose sum is σ = 3284617896. Its totient is φ = 269091840.

The previous prime is 1009096793. The next prime is 1009096811. The reversal of 1009096800 is 86909001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207829 + ... + 212628.

It is an arithmetic number, because the mean of its divisors is an integer number (45619693).

Almost surely, 2^1009096800 is an apocalyptic number.

1009096800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009096800 is an abundant number, since it is smaller than the sum of its proper divisors (2275521096).

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

1009096800 is a wasteful number, since it uses less digits than its factorization.

1009096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420480 (or 420467 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1009096800 is about 31766.2840130853. The cubic root of 1009096800 is about 1003.0231182133.

The spelling of 1009096800 in words is "one billion, nine million, ninety-six thousand, eight hundred".