10760480 has 48 divisors (see below), whose sum is σ = 25696440. Its totient is φ = 4257792.

The previous prime is 10760459. The next prime is 10760489. The reversal of 10760480 is 8406701.

It can be written as a sum of positive squares in 4 ways, for example, as 6615184 + 4145296 = 2572^2 + 2036^2 .

It is not an unprimeable number, because it can be changed into a prime (10760489) 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 7 ways as a sum of consecutive naturals, for example, 17132 + ... + 17748.

Almost surely, 2^10760480 is an apocalyptic number.

10760480 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 10760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848220).

10760480 is an abundant number, since it is smaller than the sum of its proper divisors (14935960).

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

10760480 is a wasteful number, since it uses less digits than its factorization.

10760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10760480 is about 3280.3170578467. The cubic root of 10760480 is about 220.7719438552.

The spelling of 10760480 in words is "ten million, seven hundred sixty thousand, four hundred eighty".