10824672 has 24 divisors (see below), whose sum is σ = 28415016. Its totient is φ = 3608192.

The previous prime is 10824647. The next prime is 10824677. The reversal of 10824672 is 27642801.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56283 + ... + 56474.

It is an arithmetic number, because the mean of its divisors is an integer number (1183959).

Almost surely, 2^10824672 is an apocalyptic number.

10824672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10824672 is an abundant number, since it is smaller than the sum of its proper divisors (17590344).

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

10824672 is a wasteful number, since it uses less digits than its factorization.

10824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112770 (or 112762 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 10824672 is about 3290.0869289428. The cubic root of 10824672 is about 221.2100812146.

The spelling of 10824672 in words is "ten million, eight hundred twenty-four thousand, six hundred seventy-two".