1009104768 has 288 divisors, whose sum is σ = 3533471760. Its totient is φ = 270729216.

The previous prime is 1009104749. The next prime is 1009104773. The reversal of 1009104768 is 8674019001.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 2330280 + ... + 2330712.

Almost surely, 2^1009104768 is an apocalyptic number.

1009104768 is a gapful number since it is divisible by the number (18) 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 1009104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766735880).

1009104768 is an abundant number, since it is smaller than the sum of its proper divisors (2524366992).

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

1009104768 is a wasteful number, since it uses less digits than its factorization.

1009104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1009104768 is about 31766.4094288291. The cubic root of 1009104768 is about 1003.0257582200.

The spelling of 1009104768 in words is "one billion, nine million, one hundred four thousand, seven hundred sixty-eight".