10766480 has 20 divisors (see below), whose sum is σ = 25032252. Its totient is φ = 4306560.

The previous prime is 10766411. The next prime is 10766489. The reversal of 10766480 is 8466701.

It can be written as a sum of positive squares in 2 ways, for example, as 7997584 + 2768896 = 2828^2 + 1664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (10766489) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 67211 + ... + 67370.

Almost surely, 2^10766480 is an apocalyptic number.

10766480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10766480 is an abundant number, since it is smaller than the sum of its proper divisors (14265772).

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

10766480 is a wasteful number, since it uses less digits than its factorization.

10766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134594 (or 134588 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 10766480 is about 3281.2314761382. The cubic root of 10766480 is about 220.8129700776.

The spelling of 10766480 in words is "ten million, seven hundred sixty-six thousand, four hundred eighty".