10764960 has 96 divisors (see below), whose sum is σ = 34800192. Its totient is φ = 2795520.

The previous prime is 10764953. The next prime is 10764973. The reversal of 10764960 is 6946701.

It is a happy number.

It is a Cunningham number, because it is equal to 3281²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19407 + ... + 19953.

It is an arithmetic number, because the mean of its divisors is an integer number (362502).

Almost surely, 2^10764960 is an apocalyptic number.

10764960 is a gapful number since it is divisible by the number (10) 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 10764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400096).

10764960 is an abundant number, since it is smaller than the sum of its proper divisors (24035232).

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

10764960 is a wasteful number, since it uses less digits than its factorization.

10764960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 10764960 is about 3280.9998476074. Note that the first 3 decimals coincide. The cubic root of 10764960 is about 220.8025782098.

The spelling of 10764960 in words is "ten million, seven hundred sixty-four thousand, nine hundred sixty".