1009096704 has 480 divisors, whose sum is σ = 3805401600. Its totient is φ = 258785280.

The previous prime is 1009096703. The next prime is 1009096729. The reversal of 1009096704 is 4076909001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009096703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12773337 + ... + 12773415.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2^1009096704 is an apocalyptic number.

1009096704 is a gapful number since it is divisible by the number (14) 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 1009096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902700800).

1009096704 is an abundant number, since it is smaller than the sum of its proper divisors (2796304896).

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

1009096704 is an equidigital number, since it uses as much as digits as its factorization.

1009096704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1009096704 is about 31766.2825020492. The cubic root of 1009096704 is about 1003.0230864059.

The spelling of 1009096704 in words is "one billion, nine million, ninety-six thousand, seven hundred four".