10824480 has 72 divisors (see below), whose sum is σ = 36943452. Its totient is φ = 2886144.

The previous prime is 10824419. The next prime is 10824491. The reversal of 10824480 is 8442801.

It can be written as a sum of positive squares in 2 ways, for example, as 10419984 + 404496 = 3228^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2319 + ... + 5198.

Almost surely, 2^10824480 is an apocalyptic number.

10824480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10824480 is an abundant number, since it is smaller than the sum of its proper divisors (26118972).

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

10824480 is a wasteful number, since it uses less digits than its factorization.

10824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10824480 is about 3290.0577502530. The cubic root of 10824480 is about 221.2087733201.

The spelling of 10824480 in words is "ten million, eight hundred twenty-four thousand, four hundred eighty".