10904768 has 56 divisors (see below), whose sum is σ = 25078944. Its totient is φ = 4608000.

The previous prime is 10904759. The next prime is 10904779. The reversal of 10904768 is 86740901.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×10904768³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45128 + ... + 45368.

Almost surely, 2^10904768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539472).

10904768 is an abundant number, since it is smaller than the sum of its proper divisors (14174176).

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

10904768 is a wasteful number, since it uses less digits than its factorization.

10904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10904768 is about 3302.2368176737. The cubic root of 10904768 is about 221.7543477602.

The spelling of 10904768 in words is "ten million, nine hundred four thousand, seven hundred sixty-eight".